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10125254524 = 22711199233709
BaseRepresentation
bin10010110111000001…
…10001111101111100
3222010122110020000211
421123200301331330
5131214031121044
64352415202204
7505625146330
oct113340617574
928118406024
1010125254524
114326495650
121b66b16364
13c54933c88
146c0a497c0
153e3da0634
hex25b831f7c

10125254524 has 96 divisors (see below), whose sum is σ = 22329216000. Its totient is φ = 3902722560.

The previous prime is 10125254521. The next prime is 10125254543. The reversal of 10125254524 is 42545252101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125254521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14280682 + ... + 14281390.

It is an arithmetic number, because the mean of its divisors is an integer number (232596000).

Almost surely, 210125254524 is an apocalyptic number.

10125254524 is a gapful number since it is divisible by the number (14) 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 10125254524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11164608000).

10125254524 is an abundant number, since it is smaller than the sum of its proper divisors (12203961476).

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

10125254524 is a wasteful number, since it uses less digits than its factorization.

10125254524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The spelling of 10125254524 in words is "ten billion, one hundred twenty-five million, two hundred fifty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 199 233 308 398 466 709 796 932 1393 1418 1631 2189 2563 2786 2836 3262 4378 4963 5126 5572 6524 7799 8756 9926 10252 15323 15598 17941 19852 30646 31196 35882 46367 54593 61292 71764 92734 109186 141091 165197 185468 218372 282182 324569 330394 510037 564364 649138 660788 987637 1020074 1156379 1298276 1552001 1817167 1975274 2040148 2312758 3104002 3570259 3634334 3950548 4625516 6208004 7140518 7268668 10864007 12720169 14281036 21728014 25440338 32874203 43456028 50880676 65748406 131496812 230119421 361616233 460238842 723232466 920477684 1446464932 2531313631 5062627262 10125254524