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132426521352 = 23331787343081
BaseRepresentation
bin111101101010100111…
…1000101101100001000
3110122211000212022011000
41323111033011230020
54132202142140402
6140500315535000
712365436600426
oct1732517055410
9418730768130
10132426521352
1151186356584
12217b945a460
13c645817c98
1465a3870116
1536a0dc7c1c
hex1ed53c5b08

132426521352 has 64 divisors (see below), whose sum is σ = 368058369600. Its totient is φ = 44117343360.

The previous prime is 132426521351. The next prime is 132426521407. The reversal of 132426521352 is 253125624231.

132426521352 is a `hidden beast` number, since 1 + 3 + 24 + 265 + 21 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132426521351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214452 + ... + 557532.

It is an arithmetic number, because the mean of its divisors is an integer number (5750912025).

Almost surely, 2132426521352 is an apocalyptic number.

132426521352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132426521352 is an abundant number, since it is smaller than the sum of its proper divisors (235631848248).

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

132426521352 is a wasteful number, since it uses less digits than its factorization.

132426521352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344883 (or 344873 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 132426521352 in words is "one hundred thirty-two billion, four hundred twenty-six million, five hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1787 3574 5361 7148 10722 14296 16083 21444 32166 42888 48249 64332 96498 128664 192996 343081 385992 686162 1029243 1372324 2058486 2744648 3087729 4116972 6175458 8233944 9263187 12350916 18526374 24701832 37052748 74105496 613085747 1226171494 1839257241 2452342988 3678514482 4904685976 5517771723 7357028964 11035543446 14714057928 16553315169 22071086892 33106630338 44142173784 66213260676 132426521352