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11527138692 = 2232794053143
BaseRepresentation
bin10101011110001001…
…00010110110000100
31002202100100022120200
422233010202312010
5142101421414232
65143454330500
7555440030226
oct125704426604
932670308520
1011527138692
114985850a03
1222984b9a30
1311191c2234
147b4ccc416
15476eb877c
hex2af122d84

11527138692 has 36 divisors (see below), whose sum is σ = 29506888320. Its totient is φ = 3793740912.

The previous prime is 11527138639. The next prime is 11527138697. The reversal of 11527138692 is 29683172511.

11527138692 is a `hidden beast` number, since 1 + 1 + 527 + 1 + 38 + 6 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11527138697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2023728 + ... + 2029415.

Almost surely, 211527138692 is an apocalyptic number.

11527138692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11527138692 is an abundant number, since it is smaller than the sum of its proper divisors (17979749628).

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

11527138692 is a wasteful number, since it uses less digits than its factorization.

11527138692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053232 (or 4053227 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11527138692 in words is "eleven billion, five hundred twenty-seven million, one hundred thirty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 4053143 8106286 12159429 16212572 24318858 36478287 48637716 72956574 145913148 320198297 640396594 960594891 1280793188 1921189782 2881784673 3842379564 5763569346 11527138692