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42086060016 = 243721113125131
BaseRepresentation
bin100111001100100001…
…100100111111110000
311000122001100100212120
4213030201210333300
51142143012410031
631200054154240
73016634415300
oct471441447760
9130561310776
1042086060016
1116937535890
1281a6652980
133c792cc3c0
142073669600
151164be8a96
hex9cc864ff0

42086060016 has 240 divisors, whose sum is σ = 148584739968. Its totient is φ = 10090483200.

The previous prime is 42086059993. The next prime is 42086060033. The reversal of 42086060016 is 61006068024.

It is a happy number.

42086060016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273771 + ... + 398901.

Almost surely, 242086060016 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 42086060016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74292369984).

42086060016 is an abundant number, since it is smaller than the sum of its proper divisors (106498679952).

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

42086060016 is a wasteful number, since it uses less digits than its factorization.

42086060016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125180 (or 125167 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 42086060016 in words is "forty-two billion, eighty-six million, sixty thousand, sixteen".