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14461286656 = 284310113007
BaseRepresentation
bin11010111011111010…
…11011100100000000
31101022211110110220111
431131331123210000
5214104042133111
610350551321104
71021235623405
oct153575334400
941284413814
1014461286656
116151023783
122977080194
13149605ac6b
149b28722ac
155998a0a21
hex35df5b900

14461286656 has 72 divisors (see below), whose sum is σ = 29832130944. Its totient is φ = 6992025600.

The previous prime is 14461286629. The next prime is 14461286737. The reversal of 14461286656 is 65668216441.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1105305 + ... + 1118311.

It is an arithmetic number, because the mean of its divisors is an integer number (414335152).

Almost surely, 214461286656 is an apocalyptic number.

14461286656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14461286656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14916065472).

14461286656 is an abundant number, since it is smaller than the sum of its proper divisors (15370844288).

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

14461286656 is a wasteful number, since it uses less digits than its factorization.

14461286656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13167 (or 13153 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The spelling of 14461286656 in words is "fourteen billion, four hundred sixty-one million, two hundred eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 101 128 172 202 256 344 404 688 808 1376 1616 2752 3232 4343 5504 6464 8686 11008 12928 13007 17372 25856 26014 34744 52028 69488 104056 138976 208112 277952 416224 555904 559301 832448 1111808 1118602 1313707 1664896 2237204 2627414 3329792 4474408 5254828 8948816 10509656 17897632 21019312 35795264 42038624 56489401 71590528 84077248 112978802 143181056 168154496 225957604 336308992 451915208 903830416 1807660832 3615321664 7230643328 14461286656