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9966597792 = 253432414389
BaseRepresentation
bin10010100100000111…
…00011011010100000
3221201120220121220120
421102003203122200
5130402422112132
64324550440240
7501660453264
oct112203433240
927646817816
109966597792
114254980488
121b21963080
13c2aac3a58
146a794a0a4
153d4eb102c
hex2520e36a0

9966597792 has 48 divisors (see below), whose sum is σ = 26770756320. Its totient is φ = 3244937472.

The previous prime is 9966597787. The next prime is 9966597821. The reversal of 9966597792 is 2977956699.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 1203067 + ... + 1211322.

It is an arithmetic number, because the mean of its divisors is an integer number (557724090).

Almost surely, 29966597792 is an apocalyptic number.

It is an amenable number.

9966597792 is an abundant number, since it is smaller than the sum of its proper divisors (16804158528).

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

9966597792 is a wasteful number, since it uses less digits than its factorization.

9966597792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414445 (or 2414437 counting only the distinct ones).

The product of its digits is 115736040, while the sum is 69.

The square root of 9966597792 is about 99832.8492631559. The cubic root of 9966597792 is about 2152.0332517446.

The spelling of 9966597792 in words is "nine billion, nine hundred sixty-six million, five hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 2414389 4828778 7243167 9657556 14486334 19315112 28972668 38630224 57945336 77260448 103818727 115890672 207637454 231781344 311456181 415274908 622912362 830549816 1245824724 1661099632 2491649448 3322199264 4983298896 9966597792