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132700520904 = 23372719156941
BaseRepresentation
bin111101110010110010…
…0010100000111001000
3110200112010102220212120
41323211210110013020
54133232313132104
6140543424411240
712405304550100
oct1734544240710
9420463386776
10132700520904
1151306a91496
1221875176b20
13c68a5113b3
1465cbdd6200
1536b9e9ccd9
hex1ee59141c8

132700520904 has 96 divisors (see below), whose sum is σ = 386453980800. Its totient is φ = 37861461120.

The previous prime is 132700520903. The next prime is 132700520923. The reversal of 132700520904 is 409025007231.

132700520904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132700520903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 767074 + ... + 924014.

It is an arithmetic number, because the mean of its divisors is an integer number (4025562300).

Almost surely, 2132700520904 is an apocalyptic number.

132700520904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132700520904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193226990400).

132700520904 is an abundant number, since it is smaller than the sum of its proper divisors (253753459896).

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

132700520904 is a wasteful number, since it uses less digits than its factorization.

132700520904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157683 (or 157672 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 132700520904 in words is "one hundred thirty-two billion, seven hundred million, five hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 719 1176 1438 2157 2876 4314 5033 5752 8628 10066 15099 17256 20132 30198 35231 40264 60396 70462 105693 120792 140924 156941 211386 281848 313882 422772 470823 627764 845544 941646 1098587 1255528 1883292 2197174 3295761 3766584 4394348 6591522 7690109 8788696 13183044 15380218 23070327 26366088 30760436 46140654 61520872 92281308 112840579 184562616 225681158 338521737 451362316 677043474 789884053 902724632 1354086948 1579768106 2369652159 2708173896 3159536212 4739304318 5529188371 6319072424 9478608636 11058376742 16587565113 18957217272 22116753484 33175130226 44233506968 66350260452 132700520904