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42242643524664 = 233211191751371837
BaseRepresentation
bin10011001101011011000011…
…10000101111110000111000
312112120100122110101001101100
421212231201300233300320
521014100413220242124
6225502000314051400
711616634041345432
oct1146554160576070
9175510573331340
1042242643524664
1112507006008320
1248a2aa7a19b60
131a75605aa241b
14a607aa749652
154d3c64c821c9
hex266b61c2fc38

42242643524664 has 192 divisors, whose sum is σ = 125628651233280. Its totient is φ = 12716791200000.

The previous prime is 42242643524623. The next prime is 42242643524671. The reversal of 42242643524664 is 46642534624224.

42242643524664 is a `hidden beast` number, since 4 + 2 + 24 + 264 + 352 + 4 + 6 + 6 + 4 = 666.

42242643524664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42242643524664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113419354 + ... + 113791190.

It is an arithmetic number, because the mean of its divisors is an integer number (654315891840).

Almost surely, 242242643524664 is an apocalyptic number.

42242643524664 is a gapful number since it is divisible by the number (44) 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 42242643524664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62814325616640).

42242643524664 is an abundant number, since it is smaller than the sum of its proper divisors (83386007708616).

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

42242643524664 is a wasteful number, since it uses less digits than its factorization.

42242643524664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372802 (or 372795 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 54.

The spelling of 42242643524664 in words is "forty-two trillion, two hundred forty-two billion, six hundred forty-three million, five hundred twenty-four thousand, six hundred sixty-four".