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76969406592 = 2732135139517
BaseRepresentation
bin100011110101110111…
…0111111000010000000
321100200010111222101200
41013223232333002000
52230113132002332
655205333301200
75363242106211
oct1075356770200
9240603458350
1076969406592
112a708250431
1212b00a94800
1373482cb490
143a2248b408
1520073d517c
hex11ebbbf080

76969406592 has 96 divisors (see below), whose sum is σ = 238525030380. Its totient is φ = 23682889728.

The previous prime is 76969406561. The next prime is 76969406617. The reversal of 76969406592 is 29560496967.

It can be written as a sum of positive squares in 2 ways, for example, as 74843827776 + 2125578816 = 273576^2 + 46104^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×769694065922 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 2554783 + ... + 2584734.

Almost surely, 276969406592 is an apocalyptic number.

76969406592 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76969406592 is an abundant number, since it is smaller than the sum of its proper divisors (161555623788).

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

76969406592 is a wasteful number, since it uses less digits than its factorization.

76969406592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139550 (or 5139535 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 76969406592 in words is "seventy-six billion, nine hundred sixty-nine million, four hundred six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 5139517 10279034 15418551 20558068 30837102 41116136 46255653 61674204 66813721 82232272 92511306 123348408 133627442 164464544 185022612 200441163 246696816 267254884 328929088 370045224 400882326 493393632 534509768 601323489 657858176 740090448 801764652 986787264 1069019536 1202646978 1480180896 1603529304 1973574528 2138039072 2405293956 2960361792 3207058608 4276078144 4810587912 5920723584 6414117216 8552156288 9621175824 12828234432 19242351648 25656468864 38484703296 76969406592