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1992190464 = 2934112397
BaseRepresentation
bin111011010111110…
…0110101000000000
312010211122202120000
41312233212220000
513040000043324
6525403320000
7100240224315
oct16657465000
95124582500
101992190464
119325a3200
12477220000
13259971834
1414c824d0c
15b9d6d9c9
hex76be6a00

1992190464 has 300 divisors, whose sum is σ = 6552329322. Its totient is φ = 602173440.

The previous prime is 1992190439. The next prime is 1992190481. The reversal of 1992190464 is 4640912991.

1992190464 is a `hidden beast` number, since 19 + 92 + 1 + 90 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1568160000 + 424030464 = 39600^2 + 20592^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5017914 + ... + 5018310.

Almost surely, 21992190464 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 1992190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276164661).

1992190464 is an abundant number, since it is smaller than the sum of its proper divisors (4560138858).

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

1992190464 is an equidigital number, since it uses as much as digits as its factorization.

1992190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1992190464 is about 44633.9608818218. The cubic root of 1992190464 is about 1258.2790109770.

The spelling of 1992190464 in words is "one billion, nine hundred ninety-two million, one hundred ninety thousand, four hundred sixty-four".