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6250868064 = 253372192409
BaseRepresentation
bin1011101001001010…
…01010110101100000
3121010122002222222000
411310211022311200
5100300210234224
62512133444000
7310621334100
oct56445126540
917118088860
106250868064
1127184a7771
1212654a0600
137880535cc
14434273200
15268b8e0c9
hex17494ad60

6250868064 has 432 divisors, whose sum is σ = 22438004400. Its totient is φ = 1687827456.

The previous prime is 6250868047. The next prime is 6250868069. The reversal of 6250868064 is 4608680526.

6250868064 is a `hidden beast` number, since 6 + 2 + 508 + 6 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6250868069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15283092 + ... + 15283500.

It is an arithmetic number, because the mean of its divisors is an integer number (51939825).

Almost surely, 26250868064 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 6250868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11219002200).

6250868064 is an abundant number, since it is smaller than the sum of its proper divisors (16187136336).

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

6250868064 is a wasteful number, since it uses less digits than its factorization.

6250868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6250868064 is about 79062.4314323813. The cubic root of 6250868064 is about 1842.1010247088.

The spelling of 6250868064 in words is "six billion, two hundred fifty million, eight hundred sixty-eight thousand, sixty-four".