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9905165374 = 2132286110243
BaseRepresentation
bin10010011100110010…
…01101010000111110
3221120022022112110211
421032121031100332
5130241210242444
64314514023034
7500313342106
oct111631152076
927508275424
109905165374
114223231395
121b05277a7a
13c1b164b00
1469d718206
153ce8c8c34
hex24e64d43e

9905165374 has 24 divisors (see below), whose sum is σ = 16095762072. Its totient is φ = 4569570720.

The previous prime is 9905165371. The next prime is 9905165429. The reversal of 9905165374 is 4735615099.

9905165374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×99051653742 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905165371) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 961897 + ... + 972139.

It is an arithmetic number, because the mean of its divisors is an integer number (670656753).

Almost surely, 29905165374 is an apocalyptic number.

9905165374 is a deficient number, since it is larger than the sum of its proper divisors (6190596698).

9905165374 is a wasteful number, since it uses less digits than its factorization.

9905165374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13132 (or 13119 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

The square root of 9905165374 is about 99524.6973067489. The cubic root of 9905165374 is about 2147.6025465715.

The spelling of 9905165374 in words is "nine billion, nine hundred five million, one hundred sixty-five thousand, three hundred seventy-four".

Divisors: 1 2 13 26 169 338 2861 5722 10243 20486 37193 74386 133159 266318 483509 967018 1731067 3462134 29305223 58610446 380967899 761935798 4952582687 9905165374