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131670060834912 = 2532797074903571
BaseRepresentation
bin11101111100000011010011…
…001101000010000001100000
3122021012112102221002221102120
4131330003103031002001200
5114224240241033204122
61144012220233344240
736506563565450445
oct3574032315020140
9567175387087376
10131670060834912
1138a54a60789976
1212926658b68080
135861583405852
142472c175b99cc
1510350917a875c
hex77c0d3342060

131670060834912 has 48 divisors (see below), whose sum is σ = 345635215877952. Its totient is φ = 43889854413440.

The previous prime is 131670060834911. The next prime is 131670060834913. The reversal of 131670060834912 is 219438060076131.

It is an interprime number because it is at equal distance from previous prime (131670060834911) and next prime (131670060834913).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131670060834911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24400087 + ... + 29303657.

It is an arithmetic number, because the mean of its divisors is an integer number (7200733664124).

Almost surely, 2131670060834912 is an apocalyptic number.

131670060834912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131670060834912 is an abundant number, since it is smaller than the sum of its proper divisors (213965155043040).

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

131670060834912 is a wasteful number, since it uses less digits than its factorization.

131670060834912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5183291 (or 5183283 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 131670060834912 in words is "one hundred thirty-one trillion, six hundred seventy billion, sixty million, eight hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 279707 559414 839121 1118828 1678242 2237656 3356484 4475312 4903571 6712968 8950624 9807142 13425936 14710713 19614284 26851872 29421426 39228568 58842852 78457136 117685704 156914272 235371408 470742816 1371563133697 2743126267394 4114689401091 5486252534788 8229378802182 10972505069576 16458757604364 21945010139152 32917515208728 43890020278304 65835030417456 131670060834912