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6245198064 = 2433717412963
BaseRepresentation
bin1011101000011111…
…00010100011110000
3121010020102221012000
411310033202203300
5100242232314224
62511412134000
7310522210350
oct56417424360
917106387160
106245198064
112715284816
121263607300
13786b19891
144335d8b60
1526841e0c9
hex1743e28f0

6245198064 has 320 divisors, whose sum is σ = 22228577280. Its totient is φ = 1637867520.

The previous prime is 6245198051. The next prime is 6245198129. The reversal of 6245198064 is 4608915426.

6245198064 is a `hidden beast` number, since 62 + 451 + 9 + 80 + 64 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2106247 + ... + 2109209.

It is an arithmetic number, because the mean of its divisors is an integer number (69464304).

Almost surely, 26245198064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6245198064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11114288640).

6245198064 is an abundant number, since it is smaller than the sum of its proper divisors (15983379216).

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

6245198064 is a wasteful number, since it uses less digits than its factorization.

6245198064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6245198064 is about 79026.5655586778. The cubic root of 6245198064 is about 1841.5438822268.

The spelling of 6245198064 in words is "six billion, two hundred forty-five million, one hundred ninety-eight thousand, sixty-four".