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9976948304 = 241744382799
BaseRepresentation
bin10010100101010110…
…00010011001010000
3221202022101111010212
421102223002121100
5130413044321204
64330000343252
7502144442561
oct112253023120
927668344125
109976948304
11425a7aaa24
121b25314b28
13c2cca900b
146a9082168
153d5d57c6e
hex252ac2650

9976948304 has 40 divisors (see below), whose sum is σ = 20513865600. Its totient is φ = 4684379648.

The previous prime is 9976948297. The next prime is 9976948313. The reversal of 9976948304 is 4038496799.

It is a congruent number.

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, 79097 + ... + 161895.

It is an arithmetic number, because the mean of its divisors is an integer number (512846640).

Almost surely, 29976948304 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 9976948304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10256932800).

9976948304 is an abundant number, since it is smaller than the sum of its proper divisors (10536917296).

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

9976948304 is a wasteful number, since it uses less digits than its factorization.

9976948304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83267 (or 83261 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The square root of 9976948304 is about 99884.6750207458. The cubic root of 9976948304 is about 2152.7779705884. Note that the first 3 decimals are identical.

The spelling of 9976948304 in words is "nine billion, nine hundred seventy-six million, nine hundred forty-eight thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 443 886 1772 3544 7088 7531 15062 30124 60248 82799 120496 165598 331196 662392 1324784 1407583 2815166 5630332 11260664 22521328 36679957 73359914 146719828 293439656 586879312 623559269 1247118538 2494237076 4988474152 9976948304