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14449778688 = 21335771019
BaseRepresentation
bin11010111010100011…
…00010000000000000
31101022000210210221110
431131101202000000
5214043120404223
610345500523320
71021036043442
oct153521420000
941260723843
1014449778688
116145583664
122973250540
13149385bc07
149b1118492
1559887ad93
hex35d462000

14449778688 has 112 divisors (see below), whose sum is σ = 38635045920. Its totient is φ = 4803526656.

The previous prime is 14449778659. The next prime is 14449778731. The reversal of 14449778688 is 88687794441.

It is a super-2 number, since 2×144497786882 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14179843 + ... + 14180861.

Almost surely, 214449778688 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 14449778688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317522960).

14449778688 is an abundant number, since it is smaller than the sum of its proper divisors (24185267232).

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

14449778688 is an equidigital number, since it uses as much as digits as its factorization.

14449778688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1601 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 66.

The spelling of 14449778688 in words is "fourteen billion, four hundred forty-nine million, seven hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 577 768 1019 1024 1154 1536 1731 2038 2048 2308 3057 3072 3462 4076 4096 4616 6114 6144 6924 8152 8192 9232 12228 12288 13848 16304 18464 24456 24576 27696 32608 36928 48912 55392 65216 73856 97824 110784 130432 147712 195648 221568 260864 295424 391296 443136 521728 587963 590848 782592 886272 1043456 1175926 1181696 1565184 1763889 1772544 2086912 2351852 2363392 3130368 3527778 3545088 4173824 4703704 4726784 6260736 7055556 7090176 8347648 9407408 12521472 14111112 14180352 18814816 25042944 28222224 37629632 56444448 75259264 112888896 150518528 225777792 301037056 451555584 602074112 903111168 1204148224 1806222336 2408296448 3612444672 4816592896 7224889344 14449778688