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42299506080 = 253251317235779
BaseRepresentation
bin100111011001001111…
…110011110110100000
311001011220222112211100
4213121033303312200
51143112133143310
631233201114400
73025135604106
oct473117636640
9131156875740
1042299506080
1116a36a71a97
128246028a00
133cb15b3950
142093b4bc76
15117880bec0
hex9d93f3da0

42299506080 has 576 divisors, whose sum is σ = 171780860160. Its totient is φ = 9372008448.

The previous prime is 42299506031. The next prime is 42299506087. The reversal of 42299506080 is 8060599224.

42299506080 is a `hidden beast` number, since 42 + 29 + 9 + 506 + 0 + 80 = 666.

It is a super-2 number, since 2×422995060802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (42299506087) 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, 7316631 + ... + 7322409.

It is an arithmetic number, because the mean of its divisors is an integer number (298230660).

Almost surely, 242299506080 is an apocalyptic number.

42299506080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42299506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85890430080).

42299506080 is an abundant number, since it is smaller than the sum of its proper divisors (129481354080).

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

42299506080 is a wasteful number, since it uses less digits than its factorization.

42299506080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5853 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 42299506080 in words is "forty-two billion, two hundred ninety-nine million, five hundred six thousand, eighty".