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990008873280 = 263257267104707
BaseRepresentation
bin11100110100000010010…
…00001001000101000000
310111122101102100121012200
432122001020021011000
5112210014232421110
62034445341553200
7131345225401500
oct16320110110500
93448342317180
10990008873280
11351951221579
1213ba53b75800
137248539713b
1435cb9553a00
151ab4455c6c0
hexe681209140

990008873280 has 504 divisors, whose sum is σ = 4020332348448. Its totient is φ = 222908184576.

The previous prime is 990008873263. The next prime is 990008873281. The reversal of 990008873280 is 82378800099.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990008873281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9402687 + ... + 9507393.

Almost surely, 2990008873280 is an apocalyptic number.

990008873280 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 990008873280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010166174224).

990008873280 is an abundant number, since it is smaller than the sum of its proper divisors (3030323475168).

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

990008873280 is a wasteful number, since it uses less digits than its factorization.

990008873280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104811 (or 104791 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 990008873280 in words is "nine hundred ninety billion, eight million, eight hundred seventy-three thousand, two hundred eighty".