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12046890405888 = 21234132793101
BaseRepresentation
bin1010111101001110001010…
…0111111001000000000000
31120122200010111122112020000
42233103202213321000000
53034334012420442023
641342133130120000
72352234113621142
oct257234247710000
946580114575200
1012046890405888
11392506a632868
121426927280000
1369502b1556a0
142d9103338c92
1515d5797c4243
hexaf4e29f9000

12046890405888 has 260 divisors, whose sum is σ = 38755837628508. Its totient is φ = 3706734182400.

The previous prime is 12046890405841. The next prime is 12046890405899. The reversal of 12046890405888 is 88850409864021.

12046890405888 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 6 + 8 + 9 + 0 + 40 + 588 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 700448477184 + 11346441928704 = 836928^2 + 3368448^2 .

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 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 19 ways as a sum of consecutive naturals, for example, 2916538 + ... + 5709638.

Almost surely, 212046890405888 is an apocalyptic number.

12046890405888 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 12046890405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19377918814254).

12046890405888 is an abundant number, since it is smaller than the sum of its proper divisors (26708947222620).

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

12046890405888 is an equidigital number, since it uses as much as digits as its factorization.

12046890405888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793150 (or 2793119 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 12046890405888 in words is "twelve trillion, forty-six billion, eight hundred ninety million, four hundred five thousand, eight hundred eighty-eight".