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132656135563152 = 24328291111246277
BaseRepresentation
bin11110001010011001101001…
…110101100110011110010000
3122101200210200011200021012200
4132022121221311212132100
5114341414231201010102
61150045215401123200
736641042463366525
oct3612315165463620
9571623604607180
10132656135563152
11392a5173207003
1212a65793489500
13590355c6c81c6
1424a883c43d14c
151050a5574d51c
hex78a669d66790

132656135563152 has 60 divisors (see below), whose sum is σ = 371700767528220. Its totient is φ = 44165371993344.

The previous prime is 132656135563139. The next prime is 132656135563169. The reversal of 132656135563152 is 251365531656231.

132656135563152 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 5 + 6 + 1 + 3 + 556 + 31 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33294792586896 + 99361342976256 = 5770164^2 + 9968016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555503763 + ... + 555742514.

It is an arithmetic number, because the mean of its divisors is an integer number (6195012792137).

Almost surely, 2132656135563152 is an apocalyptic number.

132656135563152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132656135563152 is an abundant number, since it is smaller than the sum of its proper divisors (239044631965068).

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

132656135563152 is a wasteful number, since it uses less digits than its factorization.

132656135563152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111247120 (or 1111247111 counting only the distinct ones).

The product of its digits is 14580000, while the sum is 54.

The spelling of 132656135563152 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred thirty-five million, five hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 829 1658 2487 3316 4974 6632 7461 9948 13264 14922 19896 29844 39792 59688 119376 1111246277 2222492554 3333738831 4444985108 6667477662 8889970216 10001216493 13334955324 17779940432 20002432986 26669910648 40004865972 53339821296 80009731944 160019463888 921223163633 1842446327266 2763669490899 3684892654532 5527338981798 7369785309064 8291008472697 11054677963596 14739570618128 16582016945394 22109355927192 33164033890788 44218711854384 66328067781576 132656135563152