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10097583957 = 333593104087
BaseRepresentation
bin10010110011101110…
…01110011101010101
3222001201101102011000
421121313032131111
5131134440141312
64345550133513
7505141022166
oct113167163525
928051342130
1010097583957
11431190630a
121b597b1299
13c4bc96366
146bb0c576d
153e1736adc
hex259dce755

10097583957 has 16 divisors (see below), whose sum is σ = 14963690880. Its totient is φ = 6729784416.

The previous prime is 10097583913. The next prime is 10097583983. The reversal of 10097583957 is 75938579001.

10097583957 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 583 + 9 + 57 = 666.

It is not a de Polignac number, because 10097583957 - 26 = 10097583893 is a prime.

It is a super-2 number, since 2×100975839572 (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 (10097583157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44968 + ... + 149054.

It is an arithmetic number, because the mean of its divisors is an integer number (935230680).

Almost surely, 210097583957 is an apocalyptic number.

It is an amenable number.

10097583957 is a deficient number, since it is larger than the sum of its proper divisors (4866106923).

10097583957 is a wasteful number, since it uses less digits than its factorization.

10097583957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107689 (or 107683 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 10097583957 in words is "ten billion, ninety-seven million, five hundred eighty-three thousand, nine hundred fifty-seven".

Divisors: 1 3 9 27 3593 10779 32337 97011 104087 312261 936783 2810349 373984591 1121953773 3365861319 10097583957