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11523632401134 = 2337152381200063
BaseRepresentation
bin1010011110110000111000…
…0001000000101011101110
31111210122111202101202102000
42213230032001000223232
53002300344343314014
640301514511113130
72266361232150450
oct247541601005356
944718452352360
1011523632401134
113743166085137
1213614352127a6
1365789b662729
142bba652662d0
1514eb51dba509
hexa7b0e040aee

11523632401134 has 64 divisors (see below), whose sum is σ = 29266706350080. Its totient is φ = 3292428336480.

The previous prime is 11523632401103. The next prime is 11523632401147. The reversal of 11523632401134 is 43110423632511.

11523632401134 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 3 + 632 + 4 + 0 + 1 + 13 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57499987 + ... + 57700049.

It is an arithmetic number, because the mean of its divisors is an integer number (457292286720).

Almost surely, 211523632401134 is an apocalyptic number.

11523632401134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11523632401134 is an abundant number, since it is smaller than the sum of its proper divisors (17743073948946).

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

11523632401134 is a wasteful number, since it uses less digits than its factorization.

11523632401134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352462 (or 352456 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 11523632401134 in words is "eleven trillion, five hundred twenty-three billion, six hundred thirty-two million, four hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 152381 200063 304762 400126 457143 600189 914286 1066667 1200378 1371429 1400441 1800567 2133334 2742858 2800882 3200001 3601134 4114287 4201323 5401701 6400002 8228574 8402646 9600003 10803402 12603969 19200006 25207938 28800009 37811907 57600018 75623814 30485800003 60971600006 91457400009 182914800018 213400600021 274372200027 426801200042 548744400054 640201800063 823116600081 1280403600126 1646233200162 1920605400189 3841210800378 5761816200567 11523632401134