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10637427906 = 2327831017157
BaseRepresentation
bin10011110100000101…
…00100010011000010
31000110100012022211100
421322002210103002
5133241140143111
64515312555230
7524414434230
oct117202442302
930410168740
1010637427906
114569607036
12208a552b16
131006a8bc51
1472ca8d950
15423d20756
hex27a0a44c2

10637427906 has 48 divisors (see below), whose sum is σ = 26657676864. Its totient is φ = 3002644512.

The previous prime is 10637427869. The next prime is 10637427917. The reversal of 10637427906 is 60972473601.

10637427906 is a `hidden beast` number, since 1 + 0 + 6 + 374 + 279 + 0 + 6 = 666.

It is a super-2 number, since 2×106374279062 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498121 + ... + 519036.

It is an arithmetic number, because the mean of its divisors is an integer number (555368268).

Almost surely, 210637427906 is an apocalyptic number.

10637427906 is an abundant number, since it is smaller than the sum of its proper divisors (16020248958).

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

10637427906 is a wasteful number, since it uses less digits than its factorization.

10637427906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017255 (or 1017252 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10637427906 in words is "ten billion, six hundred thirty-seven million, four hundred twenty-seven thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1743 3486 5229 10458 1017157 2034314 3051471 6102942 7120099 9154413 14240198 18308826 21360297 42720594 64080891 84424031 128161782 168848062 253272093 506544186 590968217 759816279 1181936434 1519632558 1772904651 3545809302 5318713953 10637427906