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12010604647104 = 2633717233181919
BaseRepresentation
bin1010111011000110111111…
…0100101101001011000000
31120112012110200120222211000
42232301233310231023000
53033240204242201404
641313332352252000
72346510660020010
oct256615764551300
946465420528730
1012010604647104
11391073a231168
12141b89b241000
13691797741bbb
142d7460177c40
1515c653e18339
hexaec6fd2d2c0

12010604647104 has 896 divisors, whose sum is σ = 46023258931200. Its totient is φ = 2989626900480.

The previous prime is 12010604647039. The next prime is 12010604647147. The reversal of 12010604647104 is 40174640601021.

It is a happy number.

12010604647104 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 6 + 0 + 4 + 647 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146574657 + ... + 146656575.

Almost surely, 212010604647104 is an apocalyptic number.

12010604647104 is a gapful number since it is divisible by the number (14) 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 12010604647104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23011629465600).

12010604647104 is an abundant number, since it is smaller than the sum of its proper divisors (34012654284096).

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

12010604647104 is a wasteful number, since it uses less digits than its factorization.

12010604647104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82018 (or 82002 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12010604647104 in words is "twelve trillion, ten billion, six hundred four million, six hundred forty-seven thousand, one hundred four".