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133031524896 = 25321732670029
BaseRepresentation
bin111101111100101001…
…0111111101000100000
3110201101012021122222200
41323321102333220200
54134422032244041
6141040331133200
712416434206234
oct1737122775040
9421335248880
10133031524896
1151466911706
1221947ba4200
13c710c7614a
14661dd5a5c4
1536d90831b6
hex1ef94bfa20

133031524896 has 72 divisors (see below), whose sum is σ = 380495295180. Its totient is φ = 44087502336.

The previous prime is 133031524883. The next prime is 133031524897. The reversal of 133031524896 is 698425130331.

133031524896 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 31 + 524 + 8 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119829514896 + 13202010000 = 346164^2 + 114900^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (133031524897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1285191 + ... + 1384838.

Almost surely, 2133031524896 is an apocalyptic number.

133031524896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133031524896 is an abundant number, since it is smaller than the sum of its proper divisors (247463770284).

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

133031524896 is a wasteful number, since it uses less digits than its factorization.

133031524896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670218 (or 2670207 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 133031524896 in words is "one hundred thirty-three billion, thirty-one million, five hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 16608 24912 49824 2670029 5340058 8010087 10680116 16020174 21360232 24030261 32040348 42720464 48060522 64080696 85440928 96121044 128161392 192242088 256322784 384484176 461915017 768968352 923830034 1385745051 1847660068 2771490102 3695320136 4157235153 5542980204 7390640272 8314470306 11085960408 14781280544 16628940612 22171920816 33257881224 44343841632 66515762448 133031524896