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76997925225 = 325213214232
BaseRepresentation
bin100011110110101101…
…1110001100101101001
321100202010011212121100
41013231123301211221
52230142432101400
655212232432013
75364036365004
oct1075533614551
9240663155540
1076997925225
112a722359951
1212b0a548609
1373511a5100
143a2619253b
152009b6a100
hex11ed6f1969

76997925225 has 81 divisors (see below), whose sum is σ = 149441507397. Its totient is φ = 37880032320.

The previous prime is 76997925211. The next prime is 76997925233. The reversal of 76997925225 is 52252979967.

The square root of 76997925225 is 277485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19846329129 + 57151596096 = 140877^2 + 239064^2 .

It is not a de Polignac number, because 76997925225 - 27 = 76997925097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54108864 + ... + 54110286.

Almost surely, 276997925225 is an apocalyptic number.

76997925225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

76997925225 is the 277485-th square number.

76997925225 is the 138743-rd centered octagonal number.

It is an amenable number.

76997925225 is a deficient number, since it is larger than the sum of its proper divisors (72443582172).

76997925225 is a wasteful number, since it uses less digits than its factorization.

76997925225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 1444 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 76997925225 in words is "seventy-six billion, nine hundred ninety-seven million, nine hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1423 1521 2535 2925 4225 4269 7115 7605 12675 12807 18499 21345 35575 38025 55497 64035 92495 106725 166491 240487 277485 320175 462475 721461 832455 1202435 1387425 2024929 2164383 3607305 4162275 6012175 6074787 10124645 10821915 18036525 18224361 26324077 30373935 50623225 54109575 78972231 91121805 131620385 151869675 236916693 342213001 394861155 455609025 658101925 1026639003 1184583465 1711065005 1974305775 3079917009 5133195015 5922917325 8555325025 15399585045 25665975075 76997925225