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12264315040 = 25576651969
BaseRepresentation
bin10110110110000001…
…01001100010100000
31011122201110202102101
423123000221202200
5200104131040130
65344550500144
7612630646345
oct133300514240
934581422371
1012264315040
11522398245a
122463364654
131205b49b63
14844b827cc
154bba811ca
hex2db0298a0

12264315040 has 24 divisors (see below), whose sum is σ = 28974444660. Its totient is φ = 4905725952.

The previous prime is 12264315029. The next prime is 12264315043. The reversal of 12264315040 is 4051346221.

It can be written as a sum of positive squares in 2 ways, for example, as 11895828624 + 368486416 = 109068^2 + 19196^2 .

It is not an unprimeable number, because it can be changed into a prime (12264315043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38325825 + ... + 38326144.

Almost surely, 212264315040 is an apocalyptic number.

12264315040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12264315040 is an abundant number, since it is smaller than the sum of its proper divisors (16710129620).

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

12264315040 is an equidigital number, since it uses as much as digits as its factorization.

12264315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76651984 (or 76651976 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 12264315040 in words is "twelve billion, two hundred sixty-four million, three hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 76651969 153303938 306607876 383259845 613215752 766519690 1226431504 1533039380 2452863008 3066078760 6132157520 12264315040