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42065893044 = 223272961197479
BaseRepresentation
bin100111001011010100…
…101001011010110100
311000120122101202222200
4213023110221122310
51142122332034134
631154054024500
73016301122410
oct471324513264
9130518352880
1042065893044
111692711106a
12819b948130
133c7508ac96
142070ad9d40
151163063499
hex9cb5296b4

42065893044 has 288 divisors, whose sum is σ = 128691763200. Its totient is φ = 11332500480.

The previous prime is 42065893043. The next prime is 42065893063. The reversal of 42065893044 is 44039856024.

42065893044 is a `hidden beast` number, since 4 + 20 + 6 + 589 + 3 + 0 + 44 = 666.

42065893044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42065893043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87819997 + ... + 87820475.

It is an arithmetic number, because the mean of its divisors is an integer number (446846400).

Almost surely, 242065893044 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 42065893044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64345881600).

42065893044 is an abundant number, since it is smaller than the sum of its proper divisors (86625870156).

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

42065893044 is a wasteful number, since it uses less digits than its factorization.

42065893044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42065893044 in words is "forty-two billion, sixty-five million, eight hundred ninety-three thousand, forty-four".