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96787937376 = 25321325851479
BaseRepresentation
bin101101000100100000…
…0101011100001100000
3100020211022120122200100
41122021000223201200
53041210202444001
6112244101222400
76664331615304
oct1321100534140
9306738518610
1096787937376
11380582a3999
1216912101a00
139186209580
144982615d04
1527b7257586
hex168902b860

96787937376 has 72 divisors (see below), whose sum is σ = 296413069680. Its totient is φ = 29780902656.

The previous prime is 96787937357. The next prime is 96787937423. The reversal of 96787937376 is 67373978769.

96787937376 is a `hidden beast` number, since 96 + 7 + 87 + 93 + 7 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 12921996 + ... + 12929483.

It is an arithmetic number, because the mean of its divisors is an integer number (4116848190).

Almost surely, 296787937376 is an apocalyptic number.

96787937376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96787937376 is an abundant number, since it is smaller than the sum of its proper divisors (199625132304).

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

96787937376 is a wasteful number, since it uses less digits than its factorization.

96787937376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25851508 (or 25851497 counting only the distinct ones).

The product of its digits is 504094752, while the sum is 72.

The spelling of 96787937376 in words is "ninety-six billion, seven hundred eighty-seven million, nine hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 25851479 51702958 77554437 103405916 155108874 206811832 232663311 310217748 336069227 413623664 465326622 620435496 672138454 827247328 930653244 1008207681 1240870992 1344276908 1861306488 2016415362 2481741984 2688553816 3024623043 3722612976 4032830724 5377107632 6049246086 7445225952 8065661448 10754215264 12098492172 16131322896 24196984344 32262645792 48393968688 96787937376