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12493522944 = 21134722953
BaseRepresentation
bin10111010001010110…
…00000100000000000
31012020200202201120000
423220223000200000
5201041320213234
65423415320000
7621413123100
oct135053004000
935220681500
1012493522944
1153312a4781
122508080000
13124148c736
148673a9200
154d1c59899
hex2e8ac0800

12493522944 has 720 divisors, whose sum is σ = 45754008300. Its totient is φ = 3381460992.

The previous prime is 12493522931. The next prime is 12493522961. The reversal of 12493522944 is 44922539421.

12493522944 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 352 + 294 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12294374400 + 199148544 = 110880^2 + 14112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12493522944.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 235726822 + ... + 235726874.

Almost surely, 212493522944 is an apocalyptic number.

12493522944 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 12493522944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22877004150).

12493522944 is an abundant number, since it is smaller than the sum of its proper divisors (33260485356).

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

12493522944 is an equidigital number, since it uses as much as digits as its factorization.

12493522944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 94 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 12493522944 in words is "twelve billion, four hundred ninety-three million, five hundred twenty-two thousand, nine hundred forty-four".