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131445562632 = 233293473671483
BaseRepresentation
bin111101001101011000…
…1000001110100001000
3110120021200000102202120
41322122301001310020
54123200031001012
6140215114331240
712332225563446
oct1723261016410
9416250012676
10131445562632
115082265879a
1221584a29b20
13c51a516a37
14650d47bb96
153644c0858c
hex1e9ac41d08

131445562632 has 128 divisors (see below), whose sum is σ = 342084556800. Its totient is φ = 42039099648.

The previous prime is 131445562613. The next prime is 131445562639. The reversal of 131445562632 is 236265544131.

It is not an unprimeable number, because it can be changed into a prime (131445562639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88634163 + ... + 88635645.

It is an arithmetic number, because the mean of its divisors is an integer number (2672535600).

Almost surely, 2131445562632 is an apocalyptic number.

131445562632 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 131445562632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171042278400).

131445562632 is an abundant number, since it is smaller than the sum of its proper divisors (210638994168).

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

131445562632 is a wasteful number, since it uses less digits than its factorization.

131445562632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2231 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The spelling of 131445562632 in words is "one hundred thirty-one billion, four hundred forty-five million, five hundred sixty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 347 348 367 694 696 734 1041 1101 1388 1468 1483 2082 2202 2776 2936 2966 4164 4404 4449 5932 8328 8808 8898 10063 10643 11864 17796 20126 21286 30189 31929 35592 40252 42572 43007 60378 63858 80504 85144 86014 120756 127349 127716 129021 172028 241512 254698 255432 258042 344056 382047 509396 514601 516084 544261 764094 1018792 1029202 1032168 1088522 1528188 1543803 1632783 2058404 2177044 3056376 3087606 3265566 3693121 4116808 4354088 6175212 6531132 7386242 11079363 12350424 13062264 14772484 14923429 15783569 22158726 29544968 29846858 31567138 44317452 44770287 47350707 59693716 63134276 88634904 89540574 94701414 119387432 126268552 179081148 188858567 189402828 358162296 377717134 378805656 566575701 755434268 1133151402 1510868536 2266302804 4532605608 5476898443 10953796886 16430695329 21907593772 32861390658 43815187544 65722781316 131445562632