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25557137956 = 22721926012
BaseRepresentation
bin10111110011010100…
…101111101000100100
32102222010021010102001
4113303110233220210
5404320111403311
615424002055044
71563221042200
oct276324575044
972863233361
1025557137956
11a92537a019
124b5304a484
132543aa594c
141346373b00
159e8a754c1
hex5f352fa24

25557137956 has 81 divisors (see below), whose sum is σ = 55000930257. Its totient is φ = 10359316800.

The previous prime is 25557137939. The next prime is 25557137993. The reversal of 25557137956 is 65973175552.

It is a happy number.

The square root of 25557137956 is 159866.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21481592356 + 4075545600 = 146566^2 + 63840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 25557137897 and 25557137906.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 42524056 + ... + 42524656.

Almost surely, 225557137956 is an apocalyptic number.

25557137956 is the 159866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25557137956

25557137956 is an abundant number, since it is smaller than the sum of its proper divisors (29443792301).

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

25557137956 is an equidigital number, since it uses as much as digits as its factorization.

25557137956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 629 counting only the distinct ones).

The product of its digits is 9922500, while the sum is 55.

The spelling of 25557137956 in words is "twenty-five billion, five hundred fifty-seven million, one hundred thirty-seven thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 601 722 931 1202 1444 1862 2404 2527 3724 4207 5054 8414 10108 11419 16828 17689 22838 29449 35378 45676 58898 70756 79933 117796 159866 216961 319732 361201 433922 559531 722402 867844 1119062 1444804 1518727 2238124 2528407 3037454 5056814 6074908 6862819 10113628 10631089 13725638 17698849 21262178 27451276 35397698 42524356 48039733 70795396 96079466 130393561 192158932 260787122 336278131 521574244 672556262 912754927 1345112524 1825509854 3651019708 6389284489 12778568978 25557137956