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6239720256 = 2637112173761
BaseRepresentation
bin1011100111110101…
…01001001101000000
3121002212010122001020
411303322221031000
5100234332022011
62511054505440
7310424514150
oct56372511500
917085118036
106239720256
112712183200
121261805280
1378594c483
144329b0760
15267bdb006
hex173ea9340

6239720256 has 672 divisors, whose sum is σ = 22922032896. Its totient is φ = 1459814400.

The previous prime is 6239720203. The next prime is 6239720303. The reversal of 6239720256 is 6520279326.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 102290466 + ... + 102290526.

It is an arithmetic number, because the mean of its divisors is an integer number (34110168).

Almost surely, 26239720256 is an apocalyptic number.

6239720256 is a gapful number since it is divisible by the number (66) 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 6239720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461016448).

6239720256 is an abundant number, since it is smaller than the sum of its proper divisors (16682312640).

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

6239720256 is a wasteful number, since it uses less digits than its factorization.

6239720256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 6239720256 is about 78991.8999391710. The cubic root of 6239720256 is about 1841.0053044529.

The spelling of 6239720256 in words is "six billion, two hundred thirty-nine million, seven hundred twenty thousand, two hundred fifty-six".