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992720706560 = 2105114171941
BaseRepresentation
bin11100111001000101100…
…00111101110000000000
310111220101102011000010022
432130202300331300000
5112231043000102220
62040014413553012
7131502354531122
oct16344260756000
93456342130108
10992720706560
11353012a60000
121404901a5768
13727c8164a0b
1436095787212
151ac5267d925
hexe722c3dc00

992720706560 has 880 divisors, whose sum is σ = 2990760343200. Its totient is φ = 314022297600.

The previous prime is 992720706553. The next prime is 992720706589. The reversal of 992720706560 is 65607027299.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (880).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24212700140 + ... + 24212700180.

Almost surely, 2992720706560 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 992720706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495380171600).

992720706560 is an abundant number, since it is smaller than the sum of its proper divisors (1998039636640).

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

992720706560 is a wasteful number, since it uses less digits than its factorization.

992720706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 992720706560 in words is "nine hundred ninety-two billion, seven hundred twenty million, seven hundred six thousand, five hundred sixty".