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14681319642 = 23211587126317
BaseRepresentation
bin11011010110001001…
…10010100011011010
31101220011111022102100
431223010302203122
5220031404212032
610424451344230
71026550105113
oct155304624332
941804438370
1014681319642
116254249820
122a188b2076
1314cc80a6b2
149d3b8b20a
155add6597c
hex36b1328da

14681319642 has 48 divisors (see below), whose sum is σ = 34760692512. Its totient is φ = 4441270560.

The previous prime is 14681319619. The next prime is 14681319671. The reversal of 14681319642 is 24691318641.

14681319642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146813196422 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 53068 + ... + 179384.

It is an arithmetic number, because the mean of its divisors is an integer number (724181094).

Almost surely, 214681319642 is an apocalyptic number.

14681319642 is an abundant number, since it is smaller than the sum of its proper divisors (20079372870).

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

14681319642 is a wasteful number, since it uses less digits than its factorization.

14681319642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126923 (or 126920 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 14681319642 in words is "fourteen billion, six hundred eighty-one million, three hundred nineteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 587 1174 1761 3522 5283 6457 10566 12914 19371 38742 58113 116226 126317 252634 378951 757902 1136853 1389487 2273706 2778974 4168461 8336922 12505383 25010766 74148079 148296158 222444237 444888474 667332711 815628869 1334665422 1631257738 2446886607 4893773214 7340659821 14681319642