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992959084008 = 233213791098389
BaseRepresentation
bin11100111001100001111…
…10010011010111101000
310111221000000200211111200
432130300332103113220
5112232040011142013
62040054211124200
7131511310645113
oct16346076232750
93457000624450
10992959084008
11353125575561
12140537ba3660
1372835668168
14360b92b957a
151ac68568e73
hexe730f935e8

992959084008 has 24 divisors (see below), whose sum is σ = 2689264186050. Its totient is φ = 330986361312.

The previous prime is 992959083953. The next prime is 992959084057. The reversal of 992959084008 is 800480959299.

It can be written as a sum of positive squares in only one way, i.e., 958280450724 + 34678633284 = 978918^2 + 186222^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6895549123 + ... + 6895549266.

Almost surely, 2992959084008 is an apocalyptic number.

It is an amenable number.

992959084008 is an abundant number, since it is smaller than the sum of its proper divisors (1696305102042).

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

992959084008 is a wasteful number, since it uses less digits than its factorization.

992959084008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13791098401 (or 13791098394 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 992959084008 in words is "nine hundred ninety-two billion, nine hundred fifty-nine million, eighty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 13791098389 27582196778 41373295167 55164393556 82746590334 110328787112 124119885501 165493180668 248239771002 330986361336 496479542004 992959084008