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42559244784 = 24327231194569
BaseRepresentation
bin100111101000101110…
…101000100111110000
311001212000201122100100
4213220232220213300
51144130131313114
631315040152400
73034441416600
oct475056504760
9131760648310
1042559244784
111705a647581
1282b9008700
134023355ca4
1420ba440c00
151191516909
hex9e8ba89f0

42559244784 has 180 divisors, whose sum is σ = 143022959040. Its totient is φ = 11767472640.

The previous prime is 42559244671. The next prime is 42559244789. The reversal of 42559244784 is 48744295524.

42559244784 is a `hidden beast` number, since 4 + 2 + 5 + 592 + 4 + 47 + 8 + 4 = 666.

42559244784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×425592447842 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42559244784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42559244789) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121452 + ... + 316020.

Almost surely, 242559244784 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 42559244784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71511479520).

42559244784 is an abundant number, since it is smaller than the sum of its proper divisors (100463714256).

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

42559244784 is a wasteful number, since it uses less digits than its factorization.

42559244784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194628 (or 194612 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 42559244784 in words is "forty-two billion, five hundred fifty-nine million, two hundred forty-four thousand, seven hundred eighty-four".