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13156300407438 = 2321279811586603
BaseRepresentation
bin1011111101110011000010…
…0111001100001010001110
31201120201201012021220100200
42333130300213030022032
53211023100401014223
643551530532434330
72525340250215426
oct277346047141216
951521635256320
1013156300407438
114212612661241
1215859424789a6
137458316149c6
14336aa8463486
1517c35b43da43
hexbf7309cc28e

13156300407438 has 48 divisors (see below), whose sum is σ = 28732746172416. Its totient is φ = 4350451608720.

The previous prime is 13156300407421. The next prime is 13156300407443. The reversal of 13156300407438 is 83470400365131.

13156300407438 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 630 + 0 + 4 + 0 + 7 + 4 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13156300407393 and 13156300407402.

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 23 ways as a sum of consecutive naturals, for example, 22134645 + ... + 22721247.

It is an arithmetic number, because the mean of its divisors is an integer number (598598878592).

Almost surely, 213156300407438 is an apocalyptic number.

13156300407438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13156300407438 is an abundant number, since it is smaller than the sum of its proper divisors (15576445764978).

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

13156300407438 is a wasteful number, since it uses less digits than its factorization.

13156300407438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596549 (or 596546 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13156300407438 in words is "thirteen trillion, one hundred fifty-six billion, three hundred million, four hundred seven thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 9811 19622 29433 58866 88299 176598 586603 1173206 1245997 1759809 2491994 3519618 3737991 5279427 7475982 10558854 11213973 22427946 74498581 148997162 223495743 446991486 670487229 1340974458 5755162033 11510324066 17265486099 34530972198 51796458297 103592916594 730905578191 1461811156382 2192716734573 4385433469146 6578150203719 13156300407438