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76523414472 = 2334108672
BaseRepresentation
bin100011101000100100…
…1101010001111001000
321022112001022020020000
41013101021222033020
52223204443230342
655053202203000
75346215201511
oct1072111521710
9238461266200
1076523414472
112a4a95219aa
12129b7653460
1372a6aa5b0b
1439bd153a08
151ecd18944c
hex11d126a3c8

76523414472 has 60 divisors (see below), whose sum is σ = 214356140955. Its totient is φ = 25505457552.

The previous prime is 76523414447. The next prime is 76523414497. The reversal of 76523414472 is 27441432567.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

76523414472 is a `hidden beast` number, since 76 + 523 + 4 + 14 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (76523414447) and next prime (76523414497).

It can be written as a sum of positive squares in only one way, i.e., 38261707236 + 38261707236 = 195606^2 + 195606^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=195606.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7036383 + ... + 7047249.

Almost surely, 276523414472 is an apocalyptic number.

76523414472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76523414472 is an abundant number, since it is smaller than the sum of its proper divisors (137832726483).

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

76523414472 is an frugal number, since it uses more digits than its factorization.

76523414472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21752 (or 10872 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 76523414472 in words is "seventy-six billion, five hundred twenty-three million, four hundred fourteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 10867 21734 32601 43468 65202 86936 97803 130404 195606 260808 293409 391212 586818 782424 880227 1173636 1760454 2347272 3520908 7041816 118091689 236183378 354275067 472366756 708550134 944733512 1062825201 1417100268 2125650402 2834200536 3188475603 4251300804 6376951206 8502601608 9565426809 12753902412 19130853618 25507804824 38261707236 76523414472