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13378125920152 = 237409584095613
BaseRepresentation
bin1100001010101101011001…
…1100010111011110011000
31202100221021121010111202211
43002223112130113132120
53223141400213421102
644241454243204504
72550352301033020
oct302532634273630
952327247114684
1013378125920152
1142986a4351154
12160092b376734
13760723592236
1434370d064a80
15182ee0a267d7
hexc2ad6717798

13378125920152 has 32 divisors (see below), whose sum is σ = 28737504208800. Its totient is φ = 5719464232704.

The previous prime is 13378125920119. The next prime is 13378125920167. The reversal of 13378125920152 is 25102952187331.

It is a super-3 number, since 3×133781259201523 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13378125920096 and 13378125920105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292024903 + ... + 292070710.

It is an arithmetic number, because the mean of its divisors is an integer number (898047006525).

Almost surely, 213378125920152 is an apocalyptic number.

It is an amenable number.

13378125920152 is an abundant number, since it is smaller than the sum of its proper divisors (15359378288648).

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

13378125920152 is a wasteful number, since it uses less digits than its factorization.

13378125920152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584096035 (or 584096031 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 13378125920152 in words is "thirteen trillion, three hundred seventy-eight billion, one hundred twenty-five million, nine hundred twenty thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 409 818 1636 2863 3272 5726 11452 22904 584095613 1168191226 2336382452 4088669291 4672764904 8177338582 16354677164 32709354328 238895105717 477790211434 955580422868 1672265740019 1911160845736 3344531480038 6689062960076 13378125920152