Search a number
-
+
12696513073140 = 223513891572115521
BaseRepresentation
bin1011100011000010001100…
…1001101100111111110100
31122221202220211022021010010
42320300203021230333310
53131004424321320030
643000410402300220
72450202300315351
oct270604311547764
948852824267103
1012696513073140
1140556196a5766
121510804657670
137113786197a0
1431c72bb69628
151703eacee6b0
hexb8c2326cff4

12696513073140 has 384 divisors, whose sum is σ = 39153372572160. Its totient is φ = 3055391539200.

The previous prime is 12696513073099. The next prime is 12696513073157. The reversal of 12696513073140 is 4137031569621.

It is a super-2 number, since 2×126965130731402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12696513073140.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2299673580 + ... + 2299679100.

It is an arithmetic number, because the mean of its divisors is an integer number (101961907740).

Almost surely, 212696513073140 is an apocalyptic number.

12696513073140 is a gapful number since it is divisible by the number (10) 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 12696513073140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576686286080).

12696513073140 is an abundant number, since it is smaller than the sum of its proper divisors (26456859499020).

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

12696513073140 is a wasteful number, since it uses less digits than its factorization.

12696513073140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 12696513073140 in words is "twelve trillion, six hundred ninety-six billion, five hundred thirteen million, seventy-three thousand, one hundred forty".