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1992966192 = 2432723314759
BaseRepresentation
bin111011011001010…
…0100000000110000
312010220010011122200
41312302210000300
513040144404232
6525432103200
7100246635030
oct16662440060
95126104580
101992966192
11932a82aa8
12477534b00
13259b83949
1414c9878c0
15b9e7377c
hex76ca4030

1992966192 has 480 divisors, whose sum is σ = 7130972160. Its totient is φ = 507133440.

The previous prime is 1992966181. The next prime is 1992966233. The reversal of 1992966192 is 2916692991.

1992966192 is a `hidden beast` number, since 19 + 9 + 2 + 9 + 6 + 619 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33779059 + ... + 33779117.

It is an arithmetic number, because the mean of its divisors is an integer number (14856192).

Almost surely, 21992966192 is an apocalyptic number.

1992966192 is a gapful number since it is divisible by the number (12) 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 1992966192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565486080).

1992966192 is an abundant number, since it is smaller than the sum of its proper divisors (5138005968).

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

1992966192 is a wasteful number, since it uses less digits than its factorization.

1992966192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 1992966192 is about 44642.6499213476. The cubic root of 1992966192 is about 1258.4423078797.

The spelling of 1992966192 in words is "one billion, nine hundred ninety-two million, nine hundred sixty-six thousand, one hundred ninety-two".