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136183497339528 = 23321891437463049
BaseRepresentation
bin11110111101101110110000…
…111110111011001010001000
3122212012000102002011111211100
4132331232300332323022020
5120322212300304331103
61201345500205501400
740453635005652132
oct3675566076731210
9585160362144740
10136183497339528
113a435107a51801
1213335335871860
135acb082ca3ba2
14258b460452052
1510b26a2cbd5a3
hex7bdbb0fbb288

136183497339528 has 24 divisors (see below), whose sum is σ = 368830305294750. Its totient is φ = 45394499113152.

The previous prime is 136183497339497. The next prime is 136183497339587. The reversal of 136183497339528 is 825933794381631.

136183497339528 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 8 + 3 + 4 + 97 + 3 + 3 + 9 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127176547998564 + 9006949340964 = 11277258^2 + 3001158^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×1361834973395283 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1891437463049 = 136183497339528 / (1 + 3 + 6 + 1 + 8 + 3 + 4 + 9 + 7 + 3 + 3 + 9 + 5 + 2 + 8).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 945718731453 + ... + 945718731596.

Almost surely, 2136183497339528 is an apocalyptic number.

136183497339528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136183497339528 is an abundant number, since it is smaller than the sum of its proper divisors (232646807955222).

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

136183497339528 is a wasteful number, since it uses less digits than its factorization.

136183497339528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891437463061 (or 1891437463054 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 136183497339528 in words is "one hundred thirty-six trillion, one hundred eighty-three billion, four hundred ninety-seven million, three hundred thirty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1891437463049 3782874926098 5674312389147 7565749852196 11348624778294 15131499704392 17022937167441 22697249556588 34045874334882 45394499113176 68091748669764 136183497339528