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6242396160 = 2113572111329
BaseRepresentation
bin1011101000001001…
…10110100000000000
3121010001011120200210
411310010312200000
5100241023134120
62511232114120
7310456330500
oct56404664000
917101146623
106242396160
1127137406a0
121262695940
13786378450
144330a9a00
15268068ce0
hex174136800

6242396160 has 1152 divisors, whose sum is σ = 28233878400. Its totient is φ = 1156055040.

The previous prime is 6242396137. The next prime is 6242396161. The reversal of 6242396160 is 616932426.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242396161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215255026 + ... + 215255054.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 26242396160 is an apocalyptic number.

6242396160 is a gapful number since it is divisible by the number (60) 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 6242396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

6242396160 is an abundant number, since it is smaller than the sum of its proper divisors (21991482240).

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

6242396160 is a wasteful number, since it uses less digits than its factorization.

6242396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 6242396160 is about 79008.8359615556. The cubic root of 6242396160 is about 1841.2684385466.

The spelling of 6242396160 in words is "six billion, two hundred forty-two million, three hundred ninety-six thousand, one hundred sixty".