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13376662848 = 263223223373
BaseRepresentation
bin11000111010100111…
…11010110101000000
31021112020112212202100
430131103322311000
5204343411202343
610051204150400
7652325521023
oct143523726500
937466485670
1013376662848
11574486086a
122713998400
131352431c23
1490c7b71ba
155345559d3
hex31d4fad40

13376662848 has 42 divisors (see below), whose sum is σ = 38341790474. Its totient is φ = 4458887424.

The previous prime is 13376662847. The next prime is 13376662883. The reversal of 13376662848 is 84826667331.

13376662848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8130268224 + 5246394624 = 90168^2 + 72432^2 .

It is a super-2 number, since 2×133766628482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13376662794 and 13376662803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13376662847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11611111 + ... + 11612262.

Almost surely, 213376662848 is an apocalyptic number.

13376662848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13376662848 is an abundant number, since it is smaller than the sum of its proper divisors (24965127626).

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

13376662848 is a wasteful number, since it uses less digits than its factorization.

13376662848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23223391 (or 23223378 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 13376662848 in words is "thirteen billion, three hundred seventy-six million, six hundred sixty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 23223373 46446746 69670119 92893492 139340238 185786984 209010357 278680476 371573968 418020714 557360952 743147936 836041428 1114721904 1486295872 1672082856 2229443808 3344165712 4458887616 6688331424 13376662848