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9976309984 = 252391114879
BaseRepresentation
bin10010100101010001…
…00110100011100000
3221202021012001112101
421102220212203200
5130412413404414
64325534540144
7502136143564
oct112250464340
927667161471
109976309984
11425a404393
121b25067654
13c2cb14604
146a8d576a4
153d5c7da74
hex252a268e0

9976309984 has 48 divisors (see below), whose sum is σ = 20518686720. Its totient is φ = 4765720960.

The previous prime is 9976309951. The next prime is 9976309999. The reversal of 9976309984 is 4899036799.

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, 663057 + ... + 677935.

It is an arithmetic number, because the mean of its divisors is an integer number (427472640).

Almost surely, 29976309984 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 9976309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10259343360).

9976309984 is an abundant number, since it is smaller than the sum of its proper divisors (10542376736).

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

9976309984 is a wasteful number, since it uses less digits than its factorization.

9976309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15823 (or 15815 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 64.

The square root of 9976309984 is about 99881.4796846743. The cubic root of 9976309984 is about 2152.7320584016.

The spelling of 9976309984 in words is "nine billion, nine hundred seventy-six million, three hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 911 1822 3644 7288 14576 14879 20953 29152 29758 41906 59516 83812 119032 167624 238064 335248 342217 476128 670496 684434 1368868 2737736 5475472 10950944 13554769 27109538 54219076 108438152 216876304 311759687 433752608 623519374 1247038748 2494077496 4988154992 9976309984