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9679906944 = 2737151229
BaseRepresentation
bin10010000001111011…
…11010100010000000
3220222121110020000000
421000331322202000
5124311024010234
64240310000000
7461606565021
oct110075724200
926877406000
109679906944
1141180673a4
121a61946000
13bb35a5ab6
1467b83cc48
153b9c30899
hex240f7a880

9679906944 has 256 divisors, whose sum is σ = 29240544000. Its totient is φ = 3191270400.

The previous prime is 9679906933. The next prime is 9679906967. The reversal of 9679906944 is 4496099769.

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 31 ways as a sum of consecutive naturals, for example, 42270222 + ... + 42270450.

It is an arithmetic number, because the mean of its divisors is an integer number (114220875).

Almost surely, 29679906944 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 9679906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14620272000).

9679906944 is an abundant number, since it is smaller than the sum of its proper divisors (19560637056).

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

9679906944 is an equidigital number, since it uses as much as digits as its factorization.

9679906944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The square root of 9679906944 is about 98386.5181008048. The cubic root of 9679906944 is about 2131.1976442633.

The spelling of 9679906944 in words is "nine billion, six hundred seventy-nine million, nine hundred six thousand, nine hundred forty-four".