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14164849980 = 22325194141769
BaseRepresentation
bin11010011000100101…
…00111010100111100
31100120011122221020100
431030102213110330
5213002200144410
610301321521100
71011006144501
oct151422472474
940504587210
1014164849980
116009763496
1228b3943190
13144980a048
149853494a8
1557d8478c0
hex34c4a753c

14164849980 has 72 divisors (see below), whose sum is σ = 45228128400. Its totient is φ = 3578487552.

The previous prime is 14164849931. The next prime is 14164849981. The reversal of 14164849980 is 8994846141.

It is a happy number.

14164849980 is a `hidden beast` number, since 14 + 1 + 64 + 8 + 499 + 80 = 666.

14164849980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14164849981) by changing a digit.

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, 2067465 + ... + 2074304.

It is an arithmetic number, because the mean of its divisors is an integer number (628168450).

Almost surely, 214164849980 is an apocalyptic number.

14164849980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14164849980 is an abundant number, since it is smaller than the sum of its proper divisors (31063278420).

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

14164849980 is a wasteful number, since it uses less digits than its factorization.

14164849980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141803 (or 4141798 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 14164849980 in words is "fourteen billion, one hundred sixty-four million, eight hundred forty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 4141769 8283538 12425307 16567076 20708845 24850614 37275921 41417690 49701228 62126535 74551842 78693611 82835380 124253070 149103684 157387222 186379605 236080833 248506140 314774444 372759210 393468055 472161666 708242499 745518420 786936110 944323332 1180404165 1416484998 1573872220 2360808330 2832969996 3541212495 4721616660 7082424990 14164849980