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96972875832 = 23373715600527
BaseRepresentation
bin101101001010000001…
…0001010100000111000
3100021022012120111112210
41122110002022200320
53042100024011312
6112314305135120
710002035562420
oct1322402124070
9307265514483
1096972875832
1138142729998
121696402a4a0
1391b561c201
14499cdd7480
1527c85d8e3c
hex169408a838

96972875832 has 64 divisors (see below), whose sum is σ = 284553630720. Its totient is φ = 26957708928.

The previous prime is 96972875809. The next prime is 96972875833. The reversal of 96972875832 is 23857827969.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96972875833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7794048 + ... + 7806479.

It is an arithmetic number, because the mean of its divisors is an integer number (4446150480).

Almost surely, 296972875832 is an apocalyptic number.

It is an amenable number.

96972875832 is an abundant number, since it is smaller than the sum of its proper divisors (187580754888).

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

96972875832 is a wasteful number, since it uses less digits than its factorization.

96972875832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15600580 (or 15600576 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 66.

The spelling of 96972875832 in words is "ninety-six billion, nine hundred seventy-two million, eight hundred seventy-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 15600527 31201054 46801581 62402108 93603162 109203689 124804216 187206324 218407378 327611067 374412648 436814756 577219499 655222134 873629512 1154438998 1310444268 1731658497 2308877996 2620888536 3463316994 4040536493 4617755992 6926633988 8081072986 12121609479 13853267976 16162145972 24243218958 32324291944 48486437916 96972875832