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12230710464 = 26373229811
BaseRepresentation
bin10110110010000000…
…11101010011000000
31011120101020110121110
423121000131103000
5200022030213324
65341350323320
7612042216000
oct133100352300
934511213543
1012230710464
115206a0a885
122454059540
1311cbbb22ab
14840516000
154b8b44329
hex2d901d4c0

12230710464 has 224 divisors, whose sum is σ = 37949632000. Its totient is φ = 3474938880.

The previous prime is 12230710423. The next prime is 12230710493. The reversal of 12230710464 is 46401703221.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15080619 + ... + 15081429.

It is an arithmetic number, because the mean of its divisors is an integer number (169418000).

Almost surely, 212230710464 is an apocalyptic number.

12230710464 is a gapful number since it is divisible by the number (14) 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 12230710464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974816000).

12230710464 is an abundant number, since it is smaller than the sum of its proper divisors (25718921536).

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

12230710464 is an equidigital number, since it uses as much as digits as its factorization.

12230710464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 12230710464 in words is "twelve billion, two hundred thirty million, seven hundred ten thousand, four hundred sixty-four".