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12695894640 = 2435511134567
BaseRepresentation
bin10111101001011101…
…11111101001110000
31012202210120021100000
423310232333221300
5202000122112030
65455445030000
7626421216042
oct136456775160
935683507300
1012695894640
115425557610
1225639b5300
1312743973c0
14886207a92
154e48d1860
hex2f4bbfa70

12695894640 has 480 divisors, whose sum is σ = 51957674496. Its totient is φ = 2840417280.

The previous prime is 12695894621. The next prime is 12695894641. The reversal of 12695894640 is 4649859621.

12695894640 is a `hidden beast` number, since 12 + 6 + 9 + 589 + 4 + 6 + 40 = 666.

It is a super-2 number, since 2×126958946402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12695894641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2777637 + ... + 2782203.

Almost surely, 212695894640 is an apocalyptic number.

12695894640 is a gapful number since it is divisible by the number (10) 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 12695894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25978837248).

12695894640 is an abundant number, since it is smaller than the sum of its proper divisors (39261779856).

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

12695894640 is a wasteful number, since it uses less digits than its factorization.

12695894640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 12695894640 in words is "twelve billion, six hundred ninety-five million, eight hundred ninety-four thousand, six hundred forty".