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132277345464 = 233113116162921
BaseRepresentation
bin111101100110001011…
…0000001110010111000
3110122102122011101022010
41323030112001302320
54131401000023324
6140433430325520
712361645612335
oct1731426016270
9418378141263
10132277345464
115110a127520
12217774b98a0
13c620947224
14658bb1b98c
153692c5c829
hex1ecc581cb8

132277345464 has 64 divisors (see below), whose sum is σ = 372393722880. Its totient is φ = 38791008000.

The previous prime is 132277345451. The next prime is 132277345511. The reversal of 132277345464 is 464543772231.

It is a super-2 number, since 2×1322773454642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8073277 + ... + 8089644.

It is an arithmetic number, because the mean of its divisors is an integer number (5818651920).

Almost surely, 2132277345464 is an apocalyptic number.

It is an amenable number.

132277345464 is an abundant number, since it is smaller than the sum of its proper divisors (240116377416).

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

132277345464 is a wasteful number, since it uses less digits than its factorization.

132277345464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16162972 (or 16162968 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 48.

The spelling of 132277345464 in words is "one hundred thirty-two billion, two hundred seventy-seven million, three hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 16162921 32325842 48488763 64651684 96977526 129303368 177792131 193955052 355584262 387910104 501050551 533376393 711168524 1002101102 1066752786 1422337048 1503151653 2004202204 2133505572 3006303306 4008404408 4267011144 5511556061 6012606612 11023112122 12025213224 16534668183 22046224244 33069336366 44092448488 66138672732 132277345464