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42860076576 = 25319373132029
BaseRepresentation
bin100111111010101010…
…001101111000100000
311002121222210110222120
4213322222031320200
51200234134422301
631404544104240
73045053432322
oct477252157040
9132558713876
1042860076576
11171a4439999
128381905080
134070785575
14210838d612
1511acb3be36
hex9faa8de20

42860076576 has 192 divisors, whose sum is σ = 122078678400. Its totient is φ = 13120413696.

The previous prime is 42860076521. The next prime is 42860076583. The reversal of 42860076576 is 67567006824.

42860076576 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 31 ways as a sum of consecutive naturals, for example, 21122730 + ... + 21124758.

It is an arithmetic number, because the mean of its divisors is an integer number (635826450).

Almost surely, 242860076576 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 42860076576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61039339200).

42860076576 is an abundant number, since it is smaller than the sum of its proper divisors (79218601824).

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

42860076576 is a wasteful number, since it uses less digits than its factorization.

42860076576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 42860076576 in words is "forty-two billion, eight hundred sixty million, seventy-six thousand, five hundred seventy-six".