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10829692317 = 3411314391531
BaseRepresentation
bin10100001010111111…
…11111110110011101
31000221201222101000110
422011133333312131
5134134400123232
64550341520233
7532240602663
oct120537776635
930851871013
1010829692317
114658096144
122122a13079
131037868282
1474a41ac33
15435b4cacc
hex2857ffd9d

10829692317 has 32 divisors (see below), whose sum is σ = 14948398080. Its totient is φ = 6969456000.

The previous prime is 10829692273. The next prime is 10829692337. The reversal of 10829692317 is 71329692801.

It is not a de Polignac number, because 10829692317 - 218 = 10829430173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829692337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7072842 + ... + 7074372.

It is an arithmetic number, because the mean of its divisors is an integer number (467137440).

Almost surely, 210829692317 is an apocalyptic number.

It is an amenable number.

10829692317 is a deficient number, since it is larger than the sum of its proper divisors (4118705763).

10829692317 is a wasteful number, since it uses less digits than its factorization.

10829692317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145.

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 10829692317 in words is "ten billion, eight hundred twenty-nine million, six hundred ninety-two thousand, three hundred seventeen".

Divisors: 1 3 41 123 131 393 439 1317 1531 4593 5371 16113 17999 53997 57509 62771 172527 188313 200561 601683 672109 2016327 2357869 7073607 8223001 24669003 27556469 82669407 88046279 264138837 3609897439 10829692317