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3199234896 = 243211132171937
BaseRepresentation
bin1011111010110000…
…0111001101010000
322020221220222020100
42332230013031100
523023001004041
61245242412400
7142165022304
oct27654071520
98227828210
103199234896
1113a1980590
12753501100
133bca61500
14224c69d04
1513aceb6b6
hexbeb07350

3199234896 has 720 divisors, whose sum is σ = 12106635840. Its totient is φ = 776355840.

The previous prime is 3199234849. The next prime is 3199234901. The reversal of 3199234896 is 6984329913.

3199234896 is a `hidden beast` number, since 319 + 9 + 234 + 8 + 96 = 666.

3199234896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 143 ways as a sum of consecutive naturals, for example, 86465790 + ... + 86465826.

It is an arithmetic number, because the mean of its divisors is an integer number (16814772).

Almost surely, 23199234896 is an apocalyptic number.

3199234896 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 3199234896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6053317920).

3199234896 is an abundant number, since it is smaller than the sum of its proper divisors (8907400944).

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

3199234896 is a wasteful number, since it uses less digits than its factorization.

3199234896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 3199234896 is about 56561.7794628139. The cubic root of 3199234896 is about 1473.4951456266.

The spelling of 3199234896 in words is "three billion, one hundred ninety-nine million, two hundred thirty-four thousand, eight hundred ninety-six".