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3199394016 = 25327131743167
BaseRepresentation
bin1011111010110010…
…1110000011100000
322020222020001111200
42332230232003200
523023021102031
61245250041200
7142166254230
oct27654560340
98228201450
103199394016
1113a1a7a095
12753579200
133bcab8a70
14224cabcc0
1513ad2d8e6
hexbeb2e0e0

3199394016 has 576 divisors, whose sum is σ = 12204960768. Its totient is φ = 771047424.

The previous prime is 3199393987. The next prime is 3199394027. The reversal of 3199394016 is 6104939913.

3199394016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31993940162 = 20472244139233216512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 19157965 + ... + 19158131.

It is an arithmetic number, because the mean of its divisors is an integer number (21189168).

Almost surely, 23199394016 is an apocalyptic number.

3199394016 is a gapful number since it is divisible by the number (36) 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 3199394016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102480384).

3199394016 is an abundant number, since it is smaller than the sum of its proper divisors (9005566752).

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

3199394016 is a wasteful number, since it uses less digits than its factorization.

3199394016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 3199394016 is about 56563.1860488781. The cubic root of 3199394016 is about 1473.5195742445.

The spelling of 3199394016 in words is "three billion, one hundred ninety-nine million, three hundred ninety-four thousand, sixteen".