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1992235714176 = 27317223377047
BaseRepresentation
bin11100111111011010100…
…000001000011010000000
321001110022022222021010110
4130333122200020122000
5230120044320323201
64123115341231320
7263635313110161
oct34773240103200
97043268867113
101992235714176
116a89a2139a44
12282137862540
13115b36b013c6
146c5d3623768
1536c515436d6
hex1cfda808680

1992235714176 has 192 divisors, whose sum is σ = 5645673708480. Its totient is φ = 622324580352.

The previous prime is 1992235714171. The next prime is 1992235714177. The reversal of 1992235714176 is 6714175322991.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1992235714171) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25818885 + ... + 25895931.

It is an arithmetic number, because the mean of its divisors is an integer number (29404550565).

Almost surely, 21992235714176 is an apocalyptic number.

1992235714176 is a gapful number since it is divisible by the number (16) 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 1992235714176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822836854240).

1992235714176 is an abundant number, since it is smaller than the sum of its proper divisors (3653437994304).

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

1992235714176 is a wasteful number, since it uses less digits than its factorization.

1992235714176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77331 (or 77302 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 57.

The spelling of 1992235714176 in words is "one trillion, nine hundred ninety-two billion, two hundred thirty-five million, seven hundred fourteen thousand, one hundred seventy-six".