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12676099968 = 273375983107
BaseRepresentation
bin10111100111000110…
…11110111110000000
31012201102022121011000
423303203132332000
5201430040144333
65453500452000
7626061033450
oct136343367600
935642277130
1012676099968
115415367584
12255924a000
13127025658c
14883733d60
154e2cc1713
hex2f38def80

12676099968 has 512 divisors, whose sum is σ = 44416512000. Its totient is φ = 3484588032.

The previous prime is 12676099889. The next prime is 12676099993. The reversal of 12676099968 is 86999067621.

It is a happy number.

12676099968 is a `hidden beast` number, since 12 + 6 + 7 + 609 + 9 + 9 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118468171 + ... + 118468277.

It is an arithmetic number, because the mean of its divisors is an integer number (86751000).

Almost surely, 212676099968 is an apocalyptic number.

12676099968 is a gapful number since it is divisible by the number (18) 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 12676099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256000).

12676099968 is an abundant number, since it is smaller than the sum of its proper divisors (31740412032).

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

12676099968 is a wasteful number, since it uses less digits than its factorization.

12676099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 12676099968 in words is "twelve billion, six hundred seventy-six million, ninety-nine thousand, nine hundred sixty-eight".