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14742581960359 = 113376319776451
BaseRepresentation
bin1101011010001000011001…
…0111000101111010100111
31221012101011212220001202101
43112202012113011322213
53413020301440212414
651204352035352531
73051054632023111
oct326420627057247
957171155801671
1014742581960359
1147743261a6360
1217a1264a52747
1382c2b136b326
1438d78ac083b1
151a874d4a7a74
hexd68865c5ea7

14742581960359 has 32 divisors (see below), whose sum is σ = 16175147069952. Its totient is φ = 13325679360000.

The previous prime is 14742581960297. The next prime is 14742581960363. The reversal of 14742581960359 is 95306918524741.

It is a cyclic number.

It is not a de Polignac number, because 14742581960359 - 219 = 14742581436071 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14742581960359.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14742581969359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2285314084 + ... + 2285320534.

It is an arithmetic number, because the mean of its divisors is an integer number (505473345936).

It is a 2-persistent number, because it is pandigital, and so is 2⋅14742581960359 = 29485163920718, but 3⋅14742581960359 = 44227745881077 is not.

Almost surely, 214742581960359 is an apocalyptic number.

14742581960359 is a deficient number, since it is larger than the sum of its proper divisors (1432565109593).

14742581960359 is a wasteful number, since it uses less digits than its factorization.

14742581960359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8407.

The product of its (nonzero) digits is 65318400, while the sum is 64.

The spelling of 14742581960359 in words is "fourteen trillion, seven hundred forty-two billion, five hundred eighty-one million, nine hundred sixty thousand, three hundred fifty-nine".

Divisors: 1 11 337 631 977 3707 6451 6941 10747 70961 212647 329249 616487 2173987 2339117 3621739 4070581 6302627 6781357 23913857 44776391 69328897 207756119 1371785797 2123985299 2285317309 3976957637 15089643767 23363838289 43746534007 1340234723669 14742581960359