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9979604544 = 2637132112707
BaseRepresentation
bin10010100101101010…
…01010111001000000
3221202111101102211010
421102311022321000
5130414234321134
64330133320520
7502206144660
oct112265127100
927674342733
109979604544
114261254668
121b26196140
13c306c9060
146a95741a0
153d61cece9
hex252d4ae40

9979604544 has 224 divisors, whose sum is σ = 32663766016. Its totient is φ = 2618542080.

The previous prime is 9979604533. The next prime is 9979604563. The reversal of 9979604544 is 4454069799.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3685239 + ... + 3687945.

It is an arithmetic number, because the mean of its divisors is an integer number (145820384).

Almost surely, 29979604544 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 9979604544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16331883008).

9979604544 is an abundant number, since it is smaller than the sum of its proper divisors (22684161472).

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

9979604544 is a wasteful number, since it uses less digits than its factorization.

9979604544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The square root of 9979604544 is about 99897.9706700792. The cubic root of 9979604544 is about 2152.9690038710.

The spelling of 9979604544 in words is "nine billion, nine hundred seventy-nine million, six hundred four thousand, five hundred forty-four".