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76196900096 = 28717357427
BaseRepresentation
bin100011011110110110…
…0000110110100000000
321021200021220120200222
41012331230012310000
52222022401300341
655000540002212
75335141651532
oct1067554066400
9237607816628
1076196900096
112a351188909
1212926230368
137254253745
14398ba3b852
151eae68e44b
hex11bdb06d00

76196900096 has 72 divisors (see below), whose sum is σ = 156353932224. Its totient is φ = 37046661120.

The previous prime is 76196900071. The next prime is 76196900107. The reversal of 76196900096 is 69000969167.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1298135 + ... + 1355561.

It is an arithmetic number, because the mean of its divisors is an integer number (2171582392).

Almost surely, 276196900096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76196900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78176966112).

76196900096 is an abundant number, since it is smaller than the sum of its proper divisors (80157032128).

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

76196900096 is an equidigital number, since it uses as much as digits as its factorization.

76196900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57587 (or 57573 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 53.

The spelling of 76196900096 in words is "seventy-six billion, one hundred ninety-six million, nine hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 71 73 128 142 146 256 284 292 568 584 1136 1168 2272 2336 4544 4672 5183 9088 9344 10366 18176 18688 20732 41464 57427 82928 114854 165856 229708 331712 459416 663424 918832 1326848 1837664 3675328 4077317 4192171 7350656 8154634 8384342 14701312 16309268 16768684 32618536 33537368 65237072 67074736 130474144 134149472 260948288 268298944 297644141 521896576 536597888 595288282 1043793152 1073195776 1190576564 2381153128 4762306256 9524612512 19049225024 38098450048 76196900096