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12694664736 = 253413675623
BaseRepresentation
bin10111101001010100…
…10011011000100000
31012202201020210020000
423310222103120200
5201444313232421
65455402420000
7626404604235
oct136452233040
935681223200
1012694664736
115424897566
122563501600
131274056650
14885da778c
154e473c226
hex2f4a93620

12694664736 has 240 divisors, whose sum is σ = 40813907904. Its totient is φ = 3847067136.

The previous prime is 12694664707. The next prime is 12694664753. The reversal of 12694664736 is 63746649621.

It is a happy number.

12694664736 is a `hidden beast` number, since 1 + 26 + 94 + 66 + 473 + 6 = 666.

It is a super-2 number, since 2×126946647362 (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2254821 + ... + 2260443.

Almost surely, 212694664736 is an apocalyptic number.

12694664736 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 12694664736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20406953952).

12694664736 is an abundant number, since it is smaller than the sum of its proper divisors (28119243168).

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

12694664736 is a wasteful number, since it uses less digits than its factorization.

12694664736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5725 (or 5708 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 12694664736 in words is "twelve billion, six hundred ninety-four million, six hundred sixty-four thousand, seven hundred thirty-six".