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12766752512 = 28479104113
BaseRepresentation
bin10111110001111010…
…10010111100000000
31012221201220020001122
423320331102330000
5202121242040022
65510455451412
7631241414543
oct137075227400
935851806048
1012766752512
115461554138
122583686b68
131285c76537
148917b085a
154eac2b742
hex2f8f52f00

12766752512 has 36 divisors (see below), whose sum is σ = 25537081920. Its totient is φ = 6369988608.

The previous prime is 12766752511. The next prime is 12766752527. The reversal of 12766752512 is 21525766721.

12766752512 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 (12766752511) 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 3 ways as a sum of consecutive naturals, for example, 70568 + ... + 174680.

Almost surely, 212766752512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12766752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12768540960).

12766752512 is an abundant number, since it is smaller than the sum of its proper divisors (12770329408).

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

12766752512 is an equidigital number, since it uses as much as digits as its factorization.

12766752512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104608 (or 104594 counting only the distinct ones).

The product of its digits is 352800, while the sum is 44.

The spelling of 12766752512 in words is "twelve billion, seven hundred sixty-six million, seven hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 479 958 1916 3832 7664 15328 30656 61312 104113 122624 208226 416452 832904 1665808 3331616 6663232 13326464 26652928 49870127 99740254 199480508 398961016 797922032 1595844064 3191688128 6383376256 12766752512