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9916028928 = 2113213291427
BaseRepresentation
bin10010011110000101…
…01001100000000000
3221121001202110110200
421033002221200000
5130302000411203
64315542525200
7500504566221
oct111702514000
927531673420
109916028928
114229381333
121b08a36800
13c20499750
146a0d45248
153d08229a3
hex24f0a9800

9916028928 has 288 divisors, whose sum is σ = 31928223600. Its totient is φ = 2943811584.

The previous prime is 9916028891. The next prime is 9916028951. The reversal of 9916028928 is 8298206199.

9916028928 is a `hidden beast` number, since 9 + 9 + 1 + 602 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6948151 + ... + 6949577.

Almost surely, 29916028928 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 9916028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15964111800).

9916028928 is an abundant number, since it is smaller than the sum of its proper divisors (22012194672).

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

9916028928 is a wasteful number, since it uses less digits than its factorization.

9916028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 9916028928 is about 99579.2595272730. The cubic root of 9916028928 is about 2148.3873920274.

The spelling of 9916028928 in words is "nine billion, nine hundred sixteen million, twenty-eight thousand, nine hundred twenty-eight".