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14664426756 = 22372314095387
BaseRepresentation
bin11011010100001000…
…10110010100000100
31101211222201001201220
431222010112110010
5220013043124011
610423045320340
71026253366530
oct155204262404
941758631656
1014664426756
116245760961
122a131060b0
1314c91745c5
149d1830bc0
155ac62a506
hex36a116504

14664426756 has 96 divisors (see below), whose sum is σ = 40841902080. Its totient is φ = 4004081664.

The previous prime is 14664426731. The next prime is 14664426787. The reversal of 14664426756 is 65762446641.

It is a junction number, because it is equal to n+sod(n) for n = 14664426699 and 14664426708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2719495 + ... + 2724881.

It is an arithmetic number, because the mean of its divisors is an integer number (425436480).

Almost surely, 214664426756 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 14664426756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20420951040).

14664426756 is an abundant number, since it is smaller than the sum of its proper divisors (26177475324).

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

14664426756 is a wasteful number, since it uses less digits than its factorization.

14664426756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6831 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 51.

The spelling of 14664426756 in words is "fourteen billion, six hundred sixty-four million, four hundred twenty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1409 1932 2818 4227 5387 5636 8454 9863 10774 16161 16908 19726 21548 29589 32322 32407 37709 39452 59178 64644 64814 75418 97221 113127 118356 123901 129628 150836 194442 226254 226849 247802 371703 388884 452508 453698 495604 680547 743406 867307 907396 1361094 1486812 1734614 2601921 2722188 3469228 5203842 7590283 10407684 15180566 22770849 30361132 45541698 53131981 91083396 106263962 159395943 174576509 212527924 318791886 349153018 523729527 637583772 698306036 1047459054 1222035563 2094918108 2444071126 3666106689 4888142252 7332213378 14664426756