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9991370928 = 2437112931297
BaseRepresentation
bin10010100111000100…
…00011100010110000
3221210022112020021010
421103202003202300
5130430242332203
64331233430520
7502411152210
oct112342034260
927708466233
109991370928
114267960950
121b2a10b440
13c32c88906
146aad58240
153d7256303
hex2538838b0

9991370928 has 480 divisors, whose sum is σ = 34752775680. Its totient is φ = 2399846400.

The previous prime is 9991370923. The next prime is 9991370933. The reversal of 9991370928 is 8290731999.

It is an interprime number because it is at equal distance from previous prime (9991370923) and next prime (9991370933).

It is not an unprimeable number, because it can be changed into a prime (9991370923) 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 95 ways as a sum of consecutive naturals, for example, 103003776 + ... + 103003872.

It is an arithmetic number, because the mean of its divisors is an integer number (72401616).

Almost surely, 29991370928 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 9991370928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17376387840).

9991370928 is an abundant number, since it is smaller than the sum of its proper divisors (24761404752).

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

9991370928 is a wasteful number, since it uses less digits than its factorization.

9991370928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 57.

The square root of 9991370928 is about 99956.8453283716. The cubic root of 9991370928 is about 2153.8148192987.

The spelling of 9991370928 in words is "nine billion, nine hundred ninety-one million, three hundred seventy thousand, nine hundred twenty-eight".