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131907590052 = 223729139389563
BaseRepresentation
bin111101011011001001…
…1100001011110100100
3110121110212101212020020
41322312103201132210
54130121320340202
6140333021235140
712346536005250
oct1726623413644
9417425355206
10131907590052
1150a3a439837
1221693702ab0
13c592165044
14655498b260
1536705705bc
hex1eb64e17a4

131907590052 has 96 divisors (see below), whose sum is σ = 366501811200. Its totient is φ = 36126421632.

The previous prime is 131907590027. The next prime is 131907590063. The reversal of 131907590052 is 250095709131.

It is a super-2 number, since 2×1319075900522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 131907589986 and 131907590013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143823 + ... + 533385.

It is an arithmetic number, because the mean of its divisors is an integer number (3817727200).

Almost surely, 2131907590052 is an apocalyptic number.

131907590052 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 131907590052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183250905600).

131907590052 is an abundant number, since it is smaller than the sum of its proper divisors (234594221148).

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

131907590052 is a wasteful number, since it uses less digits than its factorization.

131907590052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389745 (or 389743 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The spelling of 131907590052 in words is "one hundred thirty-one billion, nine hundred seven million, five hundred ninety thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 139 174 203 278 348 406 417 556 609 812 834 973 1218 1668 1946 2436 2919 3892 4031 5838 8062 11676 12093 16124 24186 28217 48372 56434 84651 112868 169302 338604 389563 779126 1168689 1558252 2337378 2726941 4674756 5453882 8180823 10907764 11297327 16361646 22594654 32723292 33891981 45189308 54149257 67783962 79081289 108298514 135567924 158162578 162447771 216597028 237243867 316325156 324895542 379044799 474487734 649791084 758089598 948975468 1137134397 1516179196 1570328453 2274268794 3140656906 4548537588 4710985359 6281313812 9421970718 10992299171 18843941436 21984598342 32976897513 43969196684 65953795026 131907590052