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11443247621352 = 2334257295323269
BaseRepresentation
bin1010011010000101011010…
…1101011010010011101000
31111111222000121020211210000
42212201112231122103220
52444441232342340402
640200542210223000
72260514225615061
oct246412655322350
944458017224700
1011443247621352
113712065a59338
121349940584a60
1365012a8b7c91
142b7bdb369568
1514c9e9c42c1c
hexa6856b5a4e8

11443247621352 has 160 divisors (see below), whose sum is σ = 32188683126600. Its totient is φ = 3798123872256.

The previous prime is 11443247621347. The next prime is 11443247621353. The reversal of 11443247621352 is 25312674234411.

11443247621352 is a `hidden beast` number, since 1 + 1 + 4 + 43 + 2 + 476 + 2 + 135 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11401927302276 + 41320319076 = 3376674^2 + 203274^2 .

It is a super-2 number, since 2×114432476213522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11443247621298 and 11443247621307.

It is not an unprimeable number, because it can be changed into a prime (11443247621353) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 491769174 + ... + 491792442.

Almost surely, 211443247621352 is an apocalyptic number.

11443247621352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11443247621352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094341563300).

11443247621352 is an abundant number, since it is smaller than the sum of its proper divisors (20745435505248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11443247621352 is a wasteful number, since it uses less digits than its factorization.

11443247621352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26497 (or 26484 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 11443247621352 in words is "eleven trillion, four hundred forty-three billion, two hundred forty-seven million, six hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 257 324 514 648 771 1028 1542 2056 2313 2953 3084 4626 5906 6168 6939 8859 9252 11812 13878 17718 18504 20817 23269 23624 26577 27756 35436 41634 46538 53154 55512 69807 70872 79731 83268 93076 106308 139614 159462 166536 186152 209421 212616 239193 279228 318924 418842 478386 558456 628263 637848 758921 837684 956772 1256526 1517842 1675368 1884789 1913544 2276763 2513052 3035684 3769578 4553526 5026104 5980133 6071368 6830289 7539156 9107052 11960266 13660578 15078312 17940399 18214104 20490867 23920532 27321156 35880798 40981734 47841064 53821197 54642312 61472601 68713357 71761596 81963468 107642394 122945202 137426714 143523192 161463591 163926936 206140071 215284788 245890404 274853428 322927182 412280142 430569576 484390773 491780808 549706856 618420213 645854364 824560284 968781546 1236840426 1291708728 1649120568 1855260639 1937563092 2473680852 3710521278 3875126184 4947361704 5565781917 7421042556 11131563834 14842085112 17659332749 22263127668 35318665498 44526255336 52977998247 70637330996 105955996494 141274661992 158933994741 211911992988 317867989482 423823985976 476801984223 635735978964 953603968446 1271471957928 1430405952669 1907207936892 2860811905338 3814415873784 5721623810676 11443247621352