Search a number
-
+
13379818816 = 267132297359
BaseRepresentation
bin11000111010111111…
…11101010101000000
31021112110111012221001
430131133331111000
5204400213200231
610051355541344
7652364404060
oct143537752500
937473435831
1013379818816
115746616a01
122714a5a854
131352c98570
1490cd993a0
1553497ab61
hex31d7fd540

13379818816 has 56 divisors (see below), whose sum is σ = 32677648640. Its totient is φ = 5293112832.

The previous prime is 13379818787. The next prime is 13379818841. The reversal of 13379818816 is 61881897331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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, 1142856 + ... + 1154503.

It is an arithmetic number, because the mean of its divisors is an integer number (583529440).

Almost surely, 213379818816 is an apocalyptic number.

13379818816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13379818816 is an abundant number, since it is smaller than the sum of its proper divisors (19297829824).

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

13379818816 is a wasteful number, since it uses less digits than its factorization.

13379818816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297391 (or 2297381 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 55.

The spelling of 13379818816 in words is "thirteen billion, three hundred seventy-nine million, eight hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 5824 2297359 4594718 9189436 16081513 18378872 29865667 32163026 36757744 59731334 64326052 73515488 119462668 128652104 147030976 209059669 238925336 257304208 418119338 477850672 514608416 836238676 955701344 1029216832 1672477352 1911402688 3344954704 6689909408 13379818816