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12744760992 = 253139955093
BaseRepresentation
bin10111101111010010…
…11001111010100000
31012220012111221100220
423313221121322200
5202100124322432
65504352243040
7630553452405
oct136751317240
935805457326
1012744760992
1154500a3627
122578240480
1312815467c2
1488c8c82ac
154e8d3572c
hex2f7a59ea0

12744760992 has 48 divisors (see below), whose sum is σ = 33695716320. Its totient is φ = 4217686272.

The previous prime is 12744760949. The next prime is 12744760997. The reversal of 12744760992 is 29906744721.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12744760997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464203 + ... + 490890.

It is an arithmetic number, because the mean of its divisors is an integer number (701994090).

Almost surely, 212744760992 is an apocalyptic number.

12744760992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12744760992 is an abundant number, since it is smaller than the sum of its proper divisors (20950955328).

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

12744760992 is a wasteful number, since it uses less digits than its factorization.

12744760992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955245 (or 955237 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 12744760992 in words is "twelve billion, seven hundred forty-four million, seven hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 955093 1910186 2865279 3820372 5730558 7640744 11461116 15281488 22922232 30562976 45844464 91688928 132757927 265515854 398273781 531031708 796547562 1062063416 1593095124 2124126832 3186190248 4248253664 6372380496 12744760992