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12936999426624 = 2635713173714533
BaseRepresentation
bin1011110001000010000101…
…0000010101101001000000
31200210202122201210210200000
42330100201100111221000
53143424433323122444
643303101523400000
72503444622512350
oct274204120255100
950722581723600
1012936999426624
114138606a00529
12154b33ab23000
1372ac526a5a30
1432a222c5ab60
151767c37ca469
hexbc421415a40

12936999426624 has 1344 divisors, whose sum is σ = 51471210825216. Its totient is φ = 3124247003136.

The previous prime is 12936999426599. The next prime is 12936999426677. The reversal of 12936999426624 is 42662499963921.

12936999426624 is a `hidden beast` number, since 1 + 2 + 93 + 6 + 9 + 99 + 426 + 6 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 890173662 + ... + 890188194.

It is an arithmetic number, because the mean of its divisors is an integer number (38297031864).

Almost surely, 212936999426624 is an apocalyptic number.

12936999426624 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 12936999426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25735605412608).

12936999426624 is an abundant number, since it is smaller than the sum of its proper divisors (38534211398592).

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

12936999426624 is a wasteful number, since it uses less digits than its factorization.

12936999426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14634 (or 14612 counting only the distinct ones).

The product of its digits is 544195584, while the sum is 72.

The spelling of 12936999426624 in words is "twelve trillion, nine hundred thirty-six billion, nine hundred ninety-nine million, four hundred twenty-six thousand, six hundred twenty-four".