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990590266368 = 2103323289761
BaseRepresentation
bin11100110101000111100…
…01111110110000000000
310111200212221100102121000
432122203301332300000
5112212212102010433
62035023151132000
7131365515223203
oct16324361766000
93450787312530
10990590266368
1135211a42082a
1213bb96814000
1372548979711
1435d3285593a
151ab7a602113
hexe6a3c7ec00

990590266368 has 528 divisors, whose sum is σ = 3105277711200. Its totient is φ = 311881236480.

The previous prime is 990590266331. The next prime is 990590266397. The reversal of 990590266368 is 863662095099.

990590266368 is a `hidden beast` number, since 9 + 9 + 0 + 5 + 9 + 0 + 266 + 368 = 666.

It is a super-2 number, since 2×9905902663682 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1301695108 + ... + 1301695868.

Almost surely, 2990590266368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 990590266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552638855600).

990590266368 is an abundant number, since it is smaller than the sum of its proper divisors (2114687444832).

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

990590266368 is a wasteful number, since it uses less digits than its factorization.

990590266368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 63.

The spelling of 990590266368 in words is "nine hundred ninety billion, five hundred ninety million, two hundred sixty-six thousand, three hundred sixty-eight".