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132338765064 = 233111828927409
BaseRepresentation
bin111101101000000000…
…0010100110100001000
3110122120220201211011010
41323100000110310020
54132012210440224
6140443503003520
712363322641252
oct1732000246410
9418526654133
10132338765064
1151140867a20
1221793b995a0
13c6305a039c
146595d48cd2
153698340e29
hex1ed0014d08

132338765064 has 64 divisors (see below), whose sum is σ = 360956808000. Its totient is φ = 40099000320.

The previous prime is 132338765047. The next prime is 132338765087. The reversal of 132338765064 is 460567833231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4814592 + ... + 4842000.

It is an arithmetic number, because the mean of its divisors is an integer number (5639950125).

Almost surely, 2132338765064 is an apocalyptic number.

It is an amenable number.

132338765064 is an abundant number, since it is smaller than the sum of its proper divisors (228618042936).

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

132338765064 is a wasteful number, since it uses less digits than its factorization.

132338765064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45718 (or 45714 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 132338765064 in words is "one hundred thirty-two billion, three hundred thirty-eight million, seven hundred sixty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 18289 27409 36578 54818 54867 73156 82227 109636 109734 146312 164454 201179 219272 219468 301499 328908 402358 438936 602998 603537 657816 804716 904497 1205996 1207074 1609432 1808994 2411992 2414148 3617988 4828296 7235976 501283201 1002566402 1503849603 2005132804 3007699206 4010265608 5514115211 6015398412 11028230422 12030796824 16542345633 22056460844 33084691266 44112921688 66169382532 132338765064