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12312384628416 = 26389959712847
BaseRepresentation
bin1011001100101011001101…
…0011111110011011000000
31121121001102020212102212220
42303022303103332123000
53103211230431102131
642104121552451040
72410353240362265
oct263126323763300
947531366772786
1012312384628416
113a177201597a4
12146a280849a80
136b408c271a92
14307ccb86126c
151654179c8e96
hexb32b34fe6c0

12312384628416 has 56 divisors (see below), whose sum is σ = 32576925488640. Its totient is φ = 4104076829952.

The previous prime is 12312384628409. The next prime is 12312384628441. The reversal of 12312384628416 is 61482648321321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16915705 + ... + 17628551.

Almost surely, 212312384628416 is an apocalyptic number.

12312384628416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12312384628416 is an abundant number, since it is smaller than the sum of its proper divisors (20264540860224).

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

12312384628416 is an equidigital number, since it uses as much as digits as its factorization.

12312384628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802821 (or 802811 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The spelling of 12312384628416 in words is "twelve trillion, three hundred twelve billion, three hundred eighty-four million, six hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 89959 179918 269877 359836 539754 712847 719672 1079508 1425694 1439344 2138541 2159016 2851388 2878688 4277082 4318032 5702776 5757376 8554164 8636064 11405552 17108328 17272128 22811104 34216656 45622208 68433312 136866624 64127003273 128254006546 192381009819 256508013092 384762019638 513016026184 769524039276 1026032052368 1539048078552 2052064104736 3078096157104 4104128209472 6156192314208 12312384628416