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12699078336 = 2632731719199
BaseRepresentation
bin10111101001110110…
…01000111011000000
31012210000120000112200
423310323020323000
5202001431001321
65500041153200
7626460246000
oct136473107300
935700500480
1012699078336
11542733156a
122564a8b800
131274c40549
148867d6000
154e4d0ed26
hex2f4ec8ec0

12699078336 has 672 divisors, whose sum is σ = 47548800000. Its totient is φ = 3218890752.

The previous prime is 12699078331. The next prime is 12699078367. The reversal of 12699078336 is 63387099621.

12699078336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×126990783362 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12699078331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63814365 + ... + 63814563.

Almost surely, 212699078336 is an apocalyptic number.

12699078336 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 12699078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774400000).

12699078336 is an abundant number, since it is smaller than the sum of its proper divisors (34849721664).

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

12699078336 is a wasteful number, since it uses less digits than its factorization.

12699078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 12699078336 in words is "twelve billion, six hundred ninety-nine million, seventy-eight thousand, three hundred thirty-six".