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12614252352 = 263138360889
BaseRepresentation
bin10111011111101111…
…00011011101000000
31012120002221102011120
423233313203131000
5201313222033402
65443411112240
7624410242632
oct135767433500
935502842146
1012614252352
115393464549
1225405a2680
1312604b0660
14879434a52
154dc6563bc
hex2efde3740

12614252352 has 112 divisors (see below), whose sum is σ = 36376173120. Its totient is φ = 3834482688.

The previous prime is 12614252317. The next prime is 12614252353. The reversal of 12614252352 is 25325241621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12614252353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176724 + ... + 237612.

It is an arithmetic number, because the mean of its divisors is an integer number (324787260).

Almost surely, 212614252352 is an apocalyptic number.

12614252352 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 12614252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188086560).

12614252352 is an abundant number, since it is smaller than the sum of its proper divisors (23761920768).

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

12614252352 is a wasteful number, since it uses less digits than its factorization.

12614252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61000 (or 60990 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 12614252352 its reverse (25325241621), we get a palindrome (37939493973).

The spelling of 12614252352 in words is "twelve billion, six hundred fourteen million, two hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 156 166 192 208 249 312 332 416 498 624 664 832 996 1079 1248 1328 1992 2158 2496 2656 3237 3984 4316 5312 6474 7968 8632 12948 15936 17264 25896 34528 51792 60889 69056 103584 121778 182667 207168 243556 365334 487112 730668 791557 974224 1461336 1583114 1948448 2374671 2922672 3166228 3896896 4749342 5053787 5845344 6332456 9498684 10107574 11690688 12664912 15161361 18997368 20215148 25329824 30322722 37994736 40430296 50659648 60645444 65699231 75989472 80860592 121290888 131398462 151978944 161721184 197097693 242581776 262796924 323442368 394195386 485163552 525593848 788390772 970327104 1051187696 1576781544 2102375392 3153563088 4204750784 6307126176 12614252352