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13379581644 = 223111361127819
BaseRepresentation
bin11000111010111110…
…00011011011001100
31021112110001011120220
430131133003123030
5204400133103034
610051350511340
7652362365442
oct143537033314
937473034526
1013379581644
1157464747a0
122714965550
131352c14620
1490cd36b92
15534930749
hex31d7c36cc

13379581644 has 96 divisors (see below), whose sum is σ = 37278447360. Its totient is φ = 3681158400.

The previous prime is 13379581613. The next prime is 13379581681. The reversal of 13379581644 is 44618597331.

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 31 ways as a sum of consecutive naturals, for example, 40767 + ... + 168585.

It is an arithmetic number, because the mean of its divisors is an integer number (388317160).

Almost surely, 213379581644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13379581644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18639223680).

13379581644 is an abundant number, since it is smaller than the sum of its proper divisors (23898865716).

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

13379581644 is a wasteful number, since it uses less digits than its factorization.

13379581644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127911 (or 127909 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 13379581644 in words is "thirteen billion, three hundred seventy-nine million, five hundred eighty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 132 143 156 183 244 286 366 429 572 671 732 793 858 1342 1586 1716 2013 2379 2684 3172 4026 4758 8052 8723 9516 17446 26169 34892 52338 104676 127819 255638 383457 511276 766914 1406009 1533828 1661647 2812018 3323294 4218027 4984941 5624036 6646588 7796959 8436054 9969882 15593918 16872108 18278117 19939764 23390877 31187836 36556234 46781754 54834351 73112468 85766549 93563508 101360467 109668702 171533098 202720934 219337404 257299647 304081401 343066196 405441868 514599294 608162802 1029198588 1114965137 1216325604 2229930274 3344895411 4459860548 6689790822 13379581644