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42365028384 = 25327219158003
BaseRepresentation
bin100111011101001001…
…110000100000100000
311001100111021102112100
4213131021300200200
51143230421402014
631243501330400
73026562541200
oct473511604040
9131314242470
1042365028384
1116a6aa54958
128263b66a00
133cc2045343
14209c726400
15117e451009
hex9dd270820

42365028384 has 216 divisors, whose sum is σ = 147522014640. Its totient is φ = 11467153152.

The previous prime is 42365028383. The next prime is 42365028437. The reversal of 42365028384 is 48382056324.

42365028384 is a `hidden beast` number, since 4 + 2 + 365 + 0 + 283 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (42365028383) 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, 189127 + ... + 347129.

It is an arithmetic number, because the mean of its divisors is an integer number (682972290).

Almost surely, 242365028384 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 42365028384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73761007320).

42365028384 is an abundant number, since it is smaller than the sum of its proper divisors (105156986256).

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

42365028384 is a wasteful number, since it uses less digits than its factorization.

42365028384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158052 (or 158034 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 42365028384 in words is "forty-two billion, three hundred sixty-five million, twenty-eight thousand, three hundred eighty-four".