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990323712000 = 2133353721743
BaseRepresentation
bin11100110100100111110…
…01001010000000000000
310111200012100210001202000
432122103321022000000
5112211140332241000
62034540510024000
7131356100442600
oct16322371120000
93450170701660
10990323712000
11351aa2a10567
1213bb214a8000
137250568c03c
1435d092aac00
151ab61eed000
hexe693e4a000

990323712000 has 2688 divisors, whose sum is σ = 4615067508480. Its totient is φ = 208089907200.

The previous prime is 990323711969. The next prime is 990323712067. The reversal of 990323712000 is 217323099.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23030783979 + ... + 23030784021.

Almost surely, 2990323712000 is an apocalyptic number.

990323712000 is a gapful number since it is divisible by the number (90) 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 990323712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307533754240).

990323712000 is an abundant number, since it is smaller than the sum of its proper divisors (3624743796480).

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

990323712000 is a wasteful number, since it uses less digits than its factorization.

990323712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 990323712000 in words is "nine hundred ninety billion, three hundred twenty-three million, seven hundred twelve thousand".