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12340646656 = 281331119617
BaseRepresentation
bin10110111111000111…
…10101001100000000
31011212001002210201021
423133203311030000
5200233201143111
65400314515224
7614545523452
oct133743651400
934761083637
1012340646656
115262a78538
122484a35b14
1312188c45b0
14850d722d2
154c360cd71
hex2df8f5300

12340646656 has 72 divisors (see below), whose sum is σ = 27383909504. Its totient is φ = 5511905280.

The previous prime is 12340646651. The next prime is 12340646713. The reversal of 12340646656 is 65664604321.

12340646656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12340646651) 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 7 ways as a sum of consecutive naturals, for example, 43360 + ... + 162976.

Almost surely, 212340646656 is an apocalyptic number.

12340646656 is a gapful number since it is divisible by the number (16) 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 12340646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13691954752).

12340646656 is an abundant number, since it is smaller than the sum of its proper divisors (15043262848).

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

12340646656 is a wasteful number, since it uses less digits than its factorization.

12340646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119677 (or 119663 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 12340646656 in words is "twelve billion, three hundred forty million, six hundred forty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 806 832 992 1612 1664 1984 3224 3328 3968 6448 7936 12896 25792 51584 103168 119617 239234 478468 956936 1555021 1913872 3110042 3708127 3827744 6220084 7416254 7655488 12440168 14832508 15310976 24880336 29665016 30621952 48205651 49760672 59330032 96411302 99521344 118660064 192822604 199042688 237320128 385645208 398085376 474640256 771290416 949280512 1542580832 3085161664 6170323328 12340646656