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6042342096 = 2434721729193
BaseRepresentation
bin1011010000010011…
…01101001011010000
3120121002201210010000
411220021231023100
544333314421341
62435324210000
7302510026500
oct55011551320
916532653100
106042342096
11262082105a
121207699900
13753aa266b
144146b1a00
152556ed8b6
hex16826d2d0

6042342096 has 600 divisors, whose sum is σ = 22398421320. Its totient is φ = 1560674304.

The previous prime is 6042342073. The next prime is 6042342101. The reversal of 6042342096 is 6902432406.

6042342096 is a `hidden beast` number, since 604 + 2 + 3 + 42 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 992250000 + 5050092096 = 31500^2 + 71064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6042342096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 31307376 + ... + 31307568.

Almost surely, 26042342096 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 6042342096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11199210660).

6042342096 is an abundant number, since it is smaller than the sum of its proper divisors (16356079224).

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

6042342096 is a wasteful number, since it uses less digits than its factorization.

6042342096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6042342096 is about 77732.5034718425. The cubic root of 6042342096 is about 1821.3850600698.

The spelling of 6042342096 in words is "six billion, forty-two million, three hundred forty-two thousand, ninety-six".