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14290645968 = 243411026733
BaseRepresentation
bin11010100111100100…
…11111001111010000
31100212221101000220000
431103302133033100
5213231401132333
610322014050000
71014064325604
oct152362371720
940787330800
1014290645968
116073773915
122929aa9900
1314698b3141
14997d33504
155898e5713
hex353c9f3d0

14290645968 has 50 divisors (see below), whose sum is σ = 41361279234. Its totient is φ = 4763548224.

The previous prime is 14290645939. The next prime is 14290646003. The reversal of 14290645968 is 86954609241.

14290645968 is a `hidden beast` number, since 1 + 42 + 9 + 0 + 6 + 4 + 596 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8613324864 + 5677321104 = 92808^2 + 75348^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 5512071 + ... + 5514662.

Almost surely, 214290645968 is an apocalyptic number.

14290645968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14290645968 is an abundant number, since it is smaller than the sum of its proper divisors (27070633266).

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

14290645968 is a wasteful number, since it uses less digits than its factorization.

14290645968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11026753 (or 11026738 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 14290645968 in words is "fourteen billion, two hundred ninety million, six hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 11026733 22053466 33080199 44106932 66160398 88213864 99240597 132320796 176427728 198481194 264641592 297721791 396962388 529283184 595443582 793924776 893165373 1190887164 1587849552 1786330746 2381774328 3572661492 4763548656 7145322984 14290645968