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990007858224 = 2433711145920399
BaseRepresentation
bin11100110100000010001…
…00010001010000110000
310111122101100110000211000
432122001010101100300
5112210014002430344
62034445304122000
7131345213643240
oct16320104212060
93448340400730
10990007858224
11351950698990
1213ba53766300
1372485100108
1435cb936bb20
151ab4440ba69
hexe681111430

990007858224 has 320 divisors, whose sum is σ = 3545487360000. Its totient is φ = 256956053760.

The previous prime is 990007858219. The next prime is 990007858241. The reversal of 990007858224 is 422858700099.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48521977 + ... + 48542375.

It is an arithmetic number, because the mean of its divisors is an integer number (11079648000).

Almost surely, 2990007858224 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 990007858224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772743680000).

990007858224 is an abundant number, since it is smaller than the sum of its proper divisors (2555479501776).

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

990007858224 is a wasteful number, since it uses less digits than its factorization.

990007858224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21893 (or 21881 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 990007858224 in words is "nine hundred ninety billion, seven million, eight hundred fifty-eight thousand, two hundred twenty-four".