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12694965696 = 2632717892081
BaseRepresentation
bin10111101001010110…
…11100110111000000
31012202201211002001200
423310223130313000
5201444402400241
65455413101200
7626410266540
oct136453346700
935681732050
1012694965696
115424a82696
122563627800
13127413062a
14886045320
154e479b4b6
hex2f4adcdc0

12694965696 has 336 divisors, whose sum is σ = 44548470720. Its totient is φ = 3373793280.

The previous prime is 12694965683. The next prime is 12694965727. The reversal of 12694965696 is 69656949621.

12694965696 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 496 + 56 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×126949656962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6099376 + ... + 6101456.

Almost surely, 212694965696 is an apocalyptic number.

12694965696 is a gapful number since it is divisible by the number (16) 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 12694965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22274235360).

12694965696 is an abundant number, since it is smaller than the sum of its proper divisors (31853505024).

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

12694965696 is a wasteful number, since it uses less digits than its factorization.

12694965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2199 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 12694965696 in words is "twelve billion, six hundred ninety-four million, nine hundred sixty-five thousand, six hundred ninety-six".