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14345465664 = 263167447401
BaseRepresentation
bin11010101110000111…
…00110111101000000
31101000202112011101010
431113003212331000
5213334414400124
610331253040520
71015331306025
oct152703467500
941022464333
1014345465664
1160a1706752
122944326140
13147806822a
149a132354c
1558e623529
hex3570e6f40

14345465664 has 56 divisors (see below), whose sum is σ = 38183076288. Its totient is φ = 4753177600.

The previous prime is 14345465653. The next prime is 14345465713. The reversal of 14345465664 is 46656454341.

14345465664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191637 + ... + 255764.

It is an arithmetic number, because the mean of its divisors is an integer number (681840648).

Almost surely, 214345465664 is an apocalyptic number.

It is an amenable number.

14345465664 is an abundant number, since it is smaller than the sum of its proper divisors (23837610624).

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

14345465664 is a wasteful number, since it uses less digits than its factorization.

14345465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447583 (or 447573 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 14345465664 in words is "fourteen billion, three hundred forty-five million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 167 192 334 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 32064 447401 894802 1342203 1789604 2684406 3579208 5368812 7158416 10737624 14316832 21475248 28633664 42950496 74715967 85900992 149431934 224147901 298863868 448295802 597727736 896591604 1195455472 1793183208 2390910944 3586366416 4781821888 7172732832 14345465664