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13380936976 = 241142392
BaseRepresentation
bin11000111011001000…
…01110010100010000
31021112112121000202101
430131210032110100
5204401004440401
610051435530144
7652410042031
oct143544162420
937475530671
1013380936976
115747210000
1227152b9954
13135329a4b4
1490d1aaa88
15534aec101
hex31d90e510

13380936976 has 75 divisors (see below), whose sum is σ = 28637766055. Its totient is φ = 6056795360.

The previous prime is 13380936973. The next prime is 13380936991. The reversal of 13380936976 is 67963908331.

The square root of 13380936976 is 115676.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13380936973) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 55987065 + ... + 55987303.

Almost surely, 213380936976 is an apocalyptic number.

13380936976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13380936976 is the 115676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13380936976

13380936976 is an abundant number, since it is smaller than the sum of its proper divisors (15256829079).

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

13380936976 is an frugal number, since it uses more digits than its factorization.

13380936976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 55.

The spelling of 13380936976 in words is "thirteen billion, three hundred eighty million, nine hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 239 242 478 484 956 968 1331 1912 1936 2629 2662 3824 5258 5324 10516 10648 14641 21032 21296 28919 29282 42064 57121 57838 58564 114242 115676 117128 228484 231352 234256 318109 456968 462704 628331 636218 913936 1256662 1272436 2513324 2544872 3499199 5026648 5089744 6911641 6998398 10053296 13823282 13996796 27646564 27993592 55293128 55987184 76028051 110586256 152056102 304112204 608224408 836308561 1216448816 1672617122 3345234244 6690468488 13380936976