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132435676632 = 23371249631151
BaseRepresentation
bin111101101010111001…
…0000000110111011000
3110122211200002102211110
41323111302000313120
54132212013123012
6140501244100320
712365610451260
oct1732562006730
9418750072743
10132435676632
115119053a026
12218005346a0
13c6476a21cc
1465a4b747a0
1536a1ad573c
hex1ed5c80dd8

132435676632 has 64 divisors (see below), whose sum is σ = 378691200000. Its totient is φ = 37808409600.

The previous prime is 132435676613. The next prime is 132435676643. The reversal of 132435676632 is 236676534231.

It is a congruent number.

It is an unprimeable number.

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, 105744 + ... + 525407.

It is an arithmetic number, because the mean of its divisors is an integer number (5917050000).

Almost surely, 2132435676632 is an apocalyptic number.

132435676632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132435676632 is an abundant number, since it is smaller than the sum of its proper divisors (246255523368).

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

132435676632 is a wasteful number, since it uses less digits than its factorization.

132435676632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632416 (or 632412 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 48.

The spelling of 132435676632 in words is "one hundred thirty-two billion, four hundred thirty-five million, six hundred seventy-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1249 2498 3747 4996 7494 8743 9992 14988 17486 26229 29976 34972 52458 69944 104916 209832 631151 1262302 1893453 2524604 3786906 4418057 5049208 7573812 8836114 13254171 15147624 17672228 26508342 35344456 53016684 106033368 788307599 1576615198 2364922797 3153230396 4729845594 5518153193 6306460792 9459691188 11036306386 16554459579 18919382376 22072612772 33108919158 44145225544 66217838316 132435676632