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25250481216 = 263422072
BaseRepresentation
bin10111100001000010…
…111100010001000000
32102011202020100110000
4113201002330101000
5403203110344331
615333325240000
71552505356212
oct274102742100
972152210400
1025250481216
11a7882692a4
124a88403000
1324c53b6c5c
14131774a5b2
159cbb9e0e6
hex5e10bc440

25250481216 has 105 divisors (see below), whose sum is σ = 74884266919. Its totient is φ = 8413013376.

The previous prime is 25250481187. The next prime is 25250481241. The reversal of 25250481216 is 61218405252.

The square root of 25250481216 is 158904.

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

25250481216 is a `hidden beast` number, since 2 + 52 + 504 + 81 + 21 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11439985 + ... + 11442191.

Almost surely, 225250481216 is an apocalyptic number.

25250481216 is the 158904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25250481216

25250481216 is an abundant number, since it is smaller than the sum of its proper divisors (49633785703).

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

25250481216 is an frugal number, since it uses more digits than its factorization.

25250481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Multiplying 25250481216 by its sum of digits (36), we get a square (909017323776 = 9534242).

25250481216 divided by its sum of digits (36) gives a square (701402256 = 264842).

Adding to 25250481216 its reverse (61218405252), we get a palindrome (86468886468).

The spelling of 25250481216 in words is "twenty-five billion, two hundred fifty million, four hundred eighty-one 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 2207 2592 4414 5184 6621 8828 13242 17656 19863 26484 35312 39726 52968 59589 70624 79452 105936 119178 141248 158904 178767 211872 238356 317808 357534 423744 476712 635616 715068 953424 1271232 1430136 1906848 2860272 3813696 4870849 5720544 9741698 11441088 14612547 19483396 29225094 38966792 43837641 58450188 77933584 87675282 116900376 131512923 155867168 175350564 233800752 263025846 311734336 350701128 394538769 467601504 526051692 701402256 789077538 935203008 1052103384 1402804512 1578155076 2104206768 2805609024 3156310152 4208413536 6312620304 8416827072 12625240608 25250481216