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14016836352 = 28320398951
BaseRepresentation
bin11010000110111011…
…11111001100000000
31100011212011001201010
431003131333030000
5212201302230402
610234513240520
71004231100051
oct150335771400
940155131633
1014016836352
115a43158682
122872263140
131424c5530c
1496d81a728
1557085ba6c
hex34377f300

14016836352 has 72 divisors (see below), whose sum is σ = 37327691520. Its totient is φ = 4669465600.

The previous prime is 14016836333. The next prime is 14016836363. The reversal of 14016836352 is 25363861041.

14016836352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14016836352.

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, 1561477 + ... + 1570427.

It is an arithmetic number, because the mean of its divisors is an integer number (518440160).

Almost surely, 214016836352 is an apocalyptic number.

14016836352 is a gapful number since it is divisible by the number (12) 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 14016836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18663845760).

14016836352 is an abundant number, since it is smaller than the sum of its proper divisors (23310855168).

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

14016836352 is an equidigital number, since it uses as much as digits as its factorization.

14016836352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11009 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 14016836352 in words is "fourteen billion, sixteen million, eight hundred thirty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2039 4078 6117 8156 8951 12234 16312 17902 24468 26853 32624 35804 48936 53706 65248 71608 97872 107412 130496 143216 195744 214824 260992 286432 391488 429648 521984 572864 782976 859296 1145728 1565952 1718592 2291456 3437184 6874368 18251089 36502178 54753267 73004356 109506534 146008712 219013068 292017424 438026136 584034848 876052272 1168069696 1752104544 2336139392 3504209088 4672278784 7008418176 14016836352