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3194116992 = 2732113147173
BaseRepresentation
bin1011111001100010…
…0101101110000000
322020121021221210100
42332120211232000
523020143220432
61244541002400
7142103355303
oct27630455600
98217257710
103194116992
111399aa5410
12751853400
133bb98bb71
142242d6b3a
1513a63a07c
hexbe625b80

3194116992 has 384 divisors, whose sum is σ = 10631761920. Its totient is φ = 911462400.

The previous prime is 3194116969. The next prime is 3194117041. The reversal of 3194116992 is 2996114913.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18463018 + ... + 18463190.

It is an arithmetic number, because the mean of its divisors is an integer number (27686880).

Almost surely, 23194116992 is an apocalyptic number.

3194116992 is a gapful number since it is divisible by the number (32) 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 3194116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315880960).

3194116992 is an abundant number, since it is smaller than the sum of its proper divisors (7437644928).

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

3194116992 is a wasteful number, since it uses less digits than its factorization.

3194116992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 3194116992 is about 56516.5196380669. The cubic root of 3194116992 is about 1472.7089960404.

The spelling of 3194116992 in words is "three billion, one hundred ninety-four million, one hundred sixteen thousand, nine hundred ninety-two".