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96088188096 = 26321579105649
BaseRepresentation
bin101100101111101001…
…1010110010011000000
3100012000112212201010100
41121133103112103000
53033242034004341
6112050423202400
76641104060035
oct1313723262300
9305015781110
1096088188096
11378293059aa
12167578a6400
1390a4257344
14491770538c
152775ad43b6
hex165f4d64c0

96088188096 has 84 divisors (see below), whose sum is σ = 275596477000. Its totient is φ = 32008808448.

The previous prime is 96088188019. The next prime is 96088188143. The reversal of 96088188096 is 69088188069.

96088188096 is a `hidden beast` number, since 9 + 608 + 8 + 18 + 8 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×960881880962 (a number of 23 digits) contains 22 as substring.

96088188096 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856680 + ... + 962328.

Almost surely, 296088188096 is an apocalyptic number.

96088188096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96088188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137798238500).

96088188096 is an abundant number, since it is smaller than the sum of its proper divisors (179508288904).

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

96088188096 is a wasteful number, since it uses less digits than its factorization.

96088188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107246 (or 107233 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 96088188096 in words is "ninety-six billion, eighty-eight million, one hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1579 3158 4737 6316 9474 12632 14211 18948 25264 28422 37896 50528 56844 75792 101056 105649 113688 151584 211298 227376 303168 316947 422596 454752 633894 845192 909504 950841 1267788 1690384 1901682 2535576 3380768 3803364 5071152 6761536 7606728 10142304 15213456 20284608 30426912 60853824 166819771 333639542 500459313 667279084 1000918626 1334558168 1501377939 2001837252 2669116336 3002755878 4003674504 5338232672 6005511756 8007349008 10676465344 12011023512 16014698016 24022047024 32029396032 48044094048 96088188096