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5682139200 = 2633521031277
BaseRepresentation
bin1010100101010111…
…01001000001000000
3112122222221120122000
411102223221001000
543114111423300
62335455544000
7260544246333
oct52253510100
915588846560
105682139200
112456468311
121126b2b000
136c728645a
143bc90a61a
15233c9bc00
hex152ae9040

5682139200 has 336 divisors, whose sum is σ = 20930981760. Its totient is φ = 1499351040.

The previous prime is 5682139193. The next prime is 5682139207. The reversal of 5682139200 is 29312865.

5682139200 is a `hidden beast` number, since 568 + 2 + 1 + 3 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5682139193) and next prime (5682139207).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5682139207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4448962 + ... + 4450238.

Almost surely, 25682139200 is an apocalyptic number.

5682139200 is a gapful number since it is divisible by the number (50) 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 5682139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465490880).

5682139200 is an abundant number, since it is smaller than the sum of its proper divisors (15248842560).

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

5682139200 is a wasteful number, since it uses less digits than its factorization.

5682139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5682139200 is about 75379.9655080844. The cubic root of 5682139200 is about 1784.4482441260.

The spelling of 5682139200 in words is "five billion, six hundred eighty-two million, one hundred thirty-nine thousand, two hundred".