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12444067992 = 233796563327
BaseRepresentation
bin10111001011011100…
…10110100010011000
31012010020201011010010
423211232112202120
5200441140133432
65414451321520
7620242555416
oct134556264230
935106634103
1012444067992
115306396514
1224b35b02a0
131234165455
148609b42b6
154cc73b3cc
hex2e5b96898

12444067992 has 32 divisors (see below), whose sum is σ = 31503974400. Its totient is φ = 4095515424.

The previous prime is 12444067963. The next prime is 12444068003. The reversal of 12444067992 is 29976044421.

12444067992 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 an unprimeable number.

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, 3279768 + ... + 3283559.

It is an arithmetic number, because the mean of its divisors is an integer number (984499200).

Almost surely, 212444067992 is an apocalyptic number.

12444067992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12444067992 is an abundant number, since it is smaller than the sum of its proper divisors (19059906408).

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

12444067992 is a wasteful number, since it uses less digits than its factorization.

12444067992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563415 (or 6563411 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 12444067992 in words is "twelve billion, four hundred forty-four million, sixty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 6563327 13126654 19689981 26253308 39379962 52506616 78759924 157519848 518502833 1037005666 1555508499 2074011332 3111016998 4148022664 6222033996 12444067992