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14676521352 = 2332371936979
BaseRepresentation
bin11011010101100100…
…11111000110001000
31101212211110112101220
431222302133012020
5220024142140402
610424200442040
71026461241663
oct155262370610
941784415356
1014676521352
116251571799
122a17179320
1314cb81a67c
149d329c6da
155ad718dbc
hex36ac9f188

14676521352 has 64 divisors (see below), whose sum is σ = 38340864000. Its totient is φ = 4672835904.

The previous prime is 14676521339. The next prime is 14676521381. The reversal of 14676521352 is 25312567641.

14676521352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 378399 + ... + 415377.

It is an arithmetic number, because the mean of its divisors is an integer number (599076000).

Almost surely, 214676521352 is an apocalyptic number.

14676521352 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 14676521352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170432000).

14676521352 is an abundant number, since it is smaller than the sum of its proper divisors (23664342648).

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

14676521352 is a wasteful number, since it uses less digits than its factorization.

14676521352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37730 (or 37726 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The spelling of 14676521352 in words is "fourteen billion, six hundred seventy-six million, five hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 719 1438 2157 2876 4314 5752 8628 16537 17256 33074 36979 49611 66148 73958 99222 110937 132296 147916 198444 221874 295832 396888 443748 850517 887496 1701034 2551551 3402068 5103102 6804136 10206204 20412408 26587901 53175802 79763703 106351604 159527406 212703208 319054812 611521723 638109624 1223043446 1834565169 2446086892 3669130338 4892173784 7338260676 14676521352