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13079186991 = 33133792791
BaseRepresentation
bin11000010111001010…
…01000111000101111
31020202111210112121000
430023211020320233
5203241232440431
610001500211343
7642054153333
oct141345107057
936674715530
1013079186991
115601950852
122650239b53
131305909000
148c109d7c3
155183949e6
hex30b948e2f

13079186991 has 64 divisors (see below), whose sum is σ = 21263872000. Its totient is φ = 7944000480.

The previous prime is 13079186957. The next prime is 13079186999. The reversal of 13079186991 is 19968197031.

It is a happy number.

13079186991 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13079186991 - 26 = 13079186927 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13079186999) 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 63 ways as a sum of consecutive naturals, for example, 4684806 + ... + 4687596.

It is an arithmetic number, because the mean of its divisors is an integer number (332248000).

Almost surely, 213079186991 is an apocalyptic number.

13079186991 is a deficient number, since it is larger than the sum of its proper divisors (8184685009).

13079186991 is an equidigital number, since it uses as much as digits as its factorization.

13079186991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

The spelling of 13079186991 in words is "thirteen billion, seventy-nine million, one hundred eighty-six thousand, nine hundred ninety-one".

Divisors: 1 3 9 13 27 39 79 117 169 237 351 507 711 1027 1521 2133 2197 2791 3081 4563 6591 8373 9243 13351 19773 25119 27729 36283 40053 59319 75357 108849 120159 173563 220489 326547 360477 471679 520689 661467 979641 1415037 1562067 1984401 2866357 4245111 4686201 5953203 6131827 8599071 12735333 18395481 25797213 37262641 55186443 77391639 111787923 165559329 335363769 484414333 1006091307 1453242999 4359728997 13079186991