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9965049138 = 234112232312
BaseRepresentation
bin10010100011111011…
…01001010100110010
3221201110222221120000
421101331221110302
5130402023033023
64324453330430
7501641343252
oct112175512462
927643887500
109965049138
114254012a00
121b21336a16
13c2a6a0ba5
146a7665962
153d4ca7243
hex251f69532

9965049138 has 270 divisors, whose sum is σ = 26511398991. Its totient is φ = 2795245200.

The previous prime is 9965049119. The next prime is 9965049163. The reversal of 9965049138 is 8319405699.

9965049138 is a `hidden beast` number, since 99 + 65 + 0 + 491 + 3 + 8 = 666.

9965049138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4982524569 + 4982524569 = 70587^2 + 70587^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70587.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 321453183 + ... + 321453213.

Almost surely, 29965049138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965049138

9965049138 is an abundant number, since it is smaller than the sum of its proper divisors (16546349853).

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

9965049138 is a wasteful number, since it uses less digits than its factorization.

9965049138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 9965049138 is about 99825.0927272297. The cubic root of 9965049138 is about 2151.9217818258.

The spelling of 9965049138 in words is "nine billion, nine hundred sixty-five million, forty-nine thousand, one hundred thirty-eight".