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13527666144664 = 2372394672164313
BaseRepresentation
bin1100010011011010011110…
…1111000011010110011000
31202220020021022110000020121
43010312213233003112120
53233114130013112124
644434305105203024
72564225115001660
oct304664757032630
952806238400217
1013527666144664
114346061967161
121625904030474
13771865801399
1434aa577311a0
15186d440862e4
hexc4da7bc3598

13527666144664 has 64 divisors (see below), whose sum is σ = 29171489817600. Its totient is φ = 5760948367104.

The previous prime is 13527666144649. The next prime is 13527666144667. The reversal of 13527666144664 is 46644166672531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13527666144667) 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 15 ways as a sum of consecutive naturals, for example, 5168172 + ... + 7332484.

It is an arithmetic number, because the mean of its divisors is an integer number (455804528400).

Almost surely, 213527666144664 is an apocalyptic number.

13527666144664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13527666144664 is an abundant number, since it is smaller than the sum of its proper divisors (15643823672936).

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

13527666144664 is a wasteful number, since it uses less digits than its factorization.

13527666144664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165032 (or 2165028 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 61.

The spelling of 13527666144664 in words is "thirteen trillion, five hundred twenty-seven billion, six hundred sixty-six million, one hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 239 467 478 934 956 1673 1868 1912 3269 3346 3736 6538 6692 13076 13384 26152 111613 223226 446452 781291 892904 1562582 2164313 3125164 4328626 6250328 8657252 15150191 17314504 30300382 60600764 121201528 517270807 1010734171 1034541614 2021468342 2069083228 3620895649 4042936684 4138166456 7075139197 7241791298 8085873368 14150278394 14483582596 28300556788 28967165192 56601113576 241565466869 483130933738 966261867476 1690958268083 1932523734952 3381916536166 6763833072332 13527666144664