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12273427968 = 29346117333
BaseRepresentation
bin10110110111000110…
…11010011000000000
31011200100121202000020
423123203122120000
5200113444143333
65345514053440
7613101262554
oct133343323000
934610552006
1012273427968
1152290370aa
12246641a280
1312079baa19
14846075864
154bc7813b3
hex2db8da600

12273427968 has 80 divisors (see below), whose sum is σ = 32769996336. Its totient is φ = 4082032640.

The previous prime is 12273427939. The next prime is 12273427981. The reversal of 12273427968 is 86972437221.

It is a self number, because there is not a number n which added to its sum of digits gives 12273427968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699430 + ... + 716762.

Almost surely, 212273427968 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 12273427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384998168).

12273427968 is an abundant number, since it is smaller than the sum of its proper divisors (20496568368).

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

12273427968 is an equidigital number, since it uses as much as digits as its factorization.

12273427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815 (or 17799 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The spelling of 12273427968 in words is "twelve billion, two hundred seventy-three million, four hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 461 512 768 922 1383 1536 1844 2766 3688 5532 7376 11064 14752 17333 22128 29504 34666 44256 51999 59008 69332 88512 103998 118016 138664 177024 207996 236032 277328 354048 415992 554656 708096 831984 1109312 1663968 2218624 3327936 4437248 6655872 7990513 8874496 13311744 15981026 23971539 26623488 31962052 47943078 63924104 95886156 127848208 191772312 255696416 383544624 511392832 767089248 1022785664 1534178496 2045571328 3068356992 4091142656 6136713984 12273427968