Search a number
-
+
25157169216 = 26344852849
BaseRepresentation
bin10111011011011110…
…111111000001000000
32101221020122121110000
4113123132333001000
5403010213403331
615320153240000
71550263260444
oct273336770100
971836577400
1025157169216
11a73a625643
124a61103000
1324abc7565a
1413091ba824
159c38bb0e6
hex5db7bf040

25157169216 has 70 divisors (see below), whose sum is σ = 74573745950. Its totient is φ = 8385721344.

The previous prime is 25157169161. The next prime is 25157169223. The reversal of 25157169216 is 61296175152.

It is a happy number.

25157169216 is a `hidden beast` number, since 2 + 5 + 1 + 571 + 69 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16927050816 + 8230118400 = 130104^2 + 90720^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 9 ways as a sum of consecutive naturals, for example, 2421241 + ... + 2431608.

Almost surely, 225157169216 is an apocalyptic number.

It is an amenable number.

25157169216 is an abundant number, since it is smaller than the sum of its proper divisors (49416576734).

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

25157169216 is an equidigital number, since it uses as much as digits as its factorization.

25157169216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852873 (or 4852854 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 25157169216 in words is "twenty-five billion, one hundred fifty-seven million, one hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 4852849 9705698 14558547 19411396 29117094 38822792 43675641 58234188 77645584 87351282 116468376 131026923 155291168 174702564 232936752 262053846 310582336 349405128 393080769 465873504 524107692 698810256 786161538 931747008 1048215384 1397620512 1572323076 2096430768 2795241024 3144646152 4192861536 6289292304 8385723072 12578584608 25157169216