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25263830916 = 22325924492
BaseRepresentation
bin10111100001110101…
…110111011110000100
32102012200100120210100
4113201311313132010
5403220020042131
615334523324100
71553030006502
oct274165673604
972180316710
1025263830916
11a794857105
124a90980630
1324c80ac39c
141319423672
159cce397e6
hex5e1d77784

25263830916 has 81 divisors (see below), whose sum is σ = 65107095781. Its totient is φ = 8260105728.

The previous prime is 25263830869. The next prime is 25263830929. The reversal of 25263830916 is 61903836252.

The square root of 25263830916 is 158946.

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

25263830916 is a `hidden beast` number, since 2 + 5 + 2 + 638 + 3 + 0 + 9 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15439056516 + 9824774400 = 124254^2 + 99120^2 .

It is a super-2 number, since 2×252638309162 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56266660 + ... + 56267108.

Almost surely, 225263830916 is an apocalyptic number.

25263830916 is the 158946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25263830916

25263830916 is an abundant number, since it is smaller than the sum of its proper divisors (39843264865).

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

25263830916 is an equidigital number, since it uses as much as digits as its factorization.

25263830916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 25263830916 in words is "twenty-five billion, two hundred sixty-three million, eight hundred thirty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 449 531 708 898 1062 1347 1796 2124 2694 3481 4041 5388 6962 8082 10443 13924 16164 20886 26491 31329 41772 52982 62658 79473 105964 125316 158946 201601 238419 317892 403202 476838 604803 806404 953676 1209606 1562969 1814409 2419212 3125938 3628818 4688907 6251876 7257636 9377814 11894459 14066721 18755628 23788918 28133442 35683377 47577836 56266884 71366754 107050131 142733508 214100262 428200524 701773081 1403546162 2105319243 2807092324 4210638486 6315957729 8421276972 12631915458 25263830916