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6242420672 = 261718131699
BaseRepresentation
bin1011101000001001…
…11100011111000000
3121010001012211022122
411310010330133000
5100241024430142
62511232423412
7310456462115
oct56404743700
917101184278
106242420672
112713758054
1212626a7b68
13786386657
144330b490c
152680711d2
hex17413c7c0

6242420672 has 56 divisors (see below), whose sum is σ = 13188848400. Its totient is φ = 2921287680.

The previous prime is 6242420671. The next prime is 6242420677. The reversal of 6242420672 is 2760242426.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242420671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181079 + ... + 212777.

It is an arithmetic number, because the mean of its divisors is an integer number (235515150).

Almost surely, 26242420672 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 6242420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594424200).

6242420672 is an abundant number, since it is smaller than the sum of its proper divisors (6946427728).

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

6242420672 is a wasteful number, since it uses less digits than its factorization.

6242420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31909 (or 31899 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 6242420672 is about 79008.9910832938. The cubic root of 6242420672 is about 1841.2708485781.

The spelling of 6242420672 in words is "six billion, two hundred forty-two million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 181 272 362 544 724 1088 1448 2896 3077 5792 6154 11584 12308 24616 31699 49232 63398 98464 126796 196928 253592 507184 538883 1014368 1077766 2028736 2155532 4311064 5737519 8622128 11475038 17244256 22950076 34488512 45900152 91800304 97537823 183600608 195075646 367201216 390151292 780302584 1560605168 3121210336 6242420672