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992139906960 = 2433519371514327
BaseRepresentation
bin11100111000000000010…
…01011000111110010000
310111211212221021022212000
432130000021120332100
5112223400304010320
62035441025234000
7131452103030616
oct16340011307620
93454787238760
10992139906960
11352845126734
12140349792900
1372734a2c607
143603c59b6b6
151ac1b6a4c90
hexe700258f90

992139906960 has 640 divisors, whose sum is σ = 3719780966400. Its totient is φ = 242200627200.

The previous prime is 992139906959. The next prime is 992139906977. The reversal of 992139906960 is 69609931299.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229288317 + ... + 229292643.

It is an arithmetic number, because the mean of its divisors is an integer number (5812157760).

Almost surely, 2992139906960 is an apocalyptic number.

992139906960 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 992139906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859890483200).

992139906960 is an abundant number, since it is smaller than the sum of its proper divisors (2727641059440).

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

992139906960 is a wasteful number, since it uses less digits than its factorization.

992139906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4556 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 12754584, while the sum is 63.

The spelling of 992139906960 in words is "nine hundred ninety-two billion, one hundred thirty-nine million, nine hundred six thousand, nine hundred sixty".