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13806226944 = 29325356531
BaseRepresentation
bin11001101101110101…
…00100111000000000
31022122011211222220200
430312322210320000
5211233343230234
610201551205200
7666062664336
oct146672447000
938564758820
1013806226944
115945289714
122813816800
1313c0424c73
1494d875b56
1555c108d99
hex336ea4e00

13806226944 has 120 divisors (see below), whose sum is σ = 40598229672. Its totient is φ = 4515164160.

The previous prime is 13806226943. The next prime is 13806226961. The reversal of 13806226944 is 44962260831.

13806226944 is a `hidden beast` number, since 1 + 380 + 6 + 2 + 269 + 4 + 4 = 666.

It is a super-2 number, since 2×138062269442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13806226944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13806226943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215959 + ... + 272489.

Almost surely, 213806226944 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 13806226944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20299114836).

13806226944 is an abundant number, since it is smaller than the sum of its proper divisors (26792002728).

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

13806226944 is an equidigital number, since it uses as much as digits as its factorization.

13806226944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56608 (or 56589 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13806226944 in words is "thirteen billion, eight hundred six million, two hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 512 576 636 768 848 954 1152 1272 1536 1696 1908 2304 2544 3392 3816 4608 5088 6784 7632 10176 13568 15264 20352 27136 30528 40704 56531 61056 81408 113062 122112 169593 226124 244224 339186 452248 508779 678372 904496 1017558 1356744 1808992 2035116 2713488 2996143 3617984 4070232 5426976 5992286 7235968 8140464 8988429 10853952 11984572 14471936 16280928 17976858 21707904 23969144 26965287 28943872 32561856 35953716 43415808 47938288 53930574 65123712 71907432 86831616 95876576 107861148 130247424 143814864 191753152 215722296 260494848 287629728 383506304 431444592 575259456 767012608 862889184 1150518912 1534025216 1725778368 2301037824 3451556736 4602075648 6903113472 13806226944