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12918926135808 = 2932721119318831
BaseRepresentation
bin1011101111111110110000…
…0000001101001000000000
31200202001000011201111112200
42323333230000031020000
53143130430042321213
643250512302153200
72502235014206400
oct273775400151000
950661004644480
1012918926135808
11413098200a650
121547936282800
13729332223b04
143293ca7d2800
151760b6c96273
hexbbfec00d200

12918926135808 has 1440 divisors, whose sum is σ = 51417874759680. Its totient is φ = 3076061184000.

The previous prime is 12918926135723. The next prime is 12918926135833. The reversal of 12918926135808 is 80853162981921.

12918926135808 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 8 + 9 + 2 + 613 + 5 + 8 + 0 + 8 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 1462901953 + ... + 1462910783.

It is an arithmetic number, because the mean of its divisors is an integer number (35706857472).

Almost surely, 212918926135808 is an apocalyptic number.

12918926135808 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 12918926135808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25708937379840).

12918926135808 is an abundant number, since it is smaller than the sum of its proper divisors (38498948623872).

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

12918926135808 is a wasteful number, since it uses less digits than its factorization.

12918926135808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8930 (or 8904 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 12918926135808 in words is "twelve trillion, nine hundred eighteen billion, nine hundred twenty-six million, one hundred thirty-five thousand, eight hundred eight".