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42437815056 = 24337133197359
BaseRepresentation
bin100111100001011111…
…011010101100010000
311001112120020101002000
4213201133122230100
51143403040040211
631255021354000
73031435322220
oct474137325420
9131476211060
1042437815056
1116aa804962a
128284408900
13400414b390
1420a8272080
151185a2c656
hex9e17dab10

42437815056 has 640 divisors, whose sum is σ = 156789964800. Its totient is φ = 10689822720.

The previous prime is 42437814953. The next prime is 42437815081. The reversal of 42437815056 is 65051873424.

42437815056 is a `hidden beast` number, since 42 + 437 + 81 + 50 + 56 = 666.

42437815056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 118211005 + ... + 118211363.

It is an arithmetic number, because the mean of its divisors is an integer number (244984320).

Almost surely, 242437815056 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 42437815056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78394982400).

42437815056 is an abundant number, since it is smaller than the sum of its proper divisors (114352149744).

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

42437815056 is a wasteful number, since it uses less digits than its factorization.

42437815056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 42437815056 in words is "forty-two billion, four hundred thirty-seven million, eight hundred fifteen thousand, fifty-six".