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12323744496 = 2432712225937
BaseRepresentation
bin10110111101000110…
…10110101011110000
31011210212022002022100
423132203112223300
5200214334310441
65354512340400
7614252046150
oct133643265360
934725262270
1012323744496
115254483708
12247b244700
13121525720b
1484ca12760
154c1dbecb6
hex2de8d6af0

12323744496 has 60 divisors (see below), whose sum is σ = 39416424112. Its totient is φ = 3521069568.

The previous prime is 12323744483. The next prime is 12323744497. The reversal of 12323744496 is 69444732321.

12323744496 is a `hidden beast` number, since 1 + 232 + 374 + 4 + 49 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323744497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6111961 + ... + 6113976.

Almost surely, 212323744496 is an apocalyptic number.

12323744496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12323744496 is an abundant number, since it is smaller than the sum of its proper divisors (27092679616).

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

12323744496 is a wasteful number, since it uses less digits than its factorization.

12323744496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12225958 (or 12225949 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 12323744496 in words is "twelve billion, three hundred twenty-three million, seven hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 12225937 24451874 36677811 48903748 73355622 85581559 97807496 110033433 146711244 171163118 195614992 220066866 256744677 293422488 342326236 440133732 513489354 586844976 684652472 770234031 880267464 1026978708 1369304944 1540468062 1760534928 2053957416 3080936124 4107914832 6161872248 12323744496