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42255290880 = 2932511223659
BaseRepresentation
bin100111010110100111…
…001001001000000000
311001001211210011222100
4213112213021020000
51143014323302010
631224541310400
73024061021605
oct472647111000
9131054704870
1042255290880
1116a14012500
128233265400
133ca53a25ca
14208bd1c6ac
1511749c62c0
hex9d69c9200

42255290880 has 720 divisors, whose sum is σ = 168103615680. Its totient is φ = 9783459840.

The previous prime is 42255290879. The next prime is 42255290881. The reversal of 42255290880 is 8809255224.

42255290880 is a `hidden beast` number, since 4 + 2 + 2 + 552 + 90 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42255290879) and next prime (42255290881).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×422552908802 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42255290881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64119991 + ... + 64120649.

It is an arithmetic number, because the mean of its divisors is an integer number (233477244).

Almost surely, 242255290880 is an apocalyptic number.

42255290880 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 42255290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84051807840).

42255290880 is an abundant number, since it is smaller than the sum of its proper divisors (125848324800).

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

42255290880 is a wasteful number, since it uses less digits than its factorization.

42255290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 42255290880 in words is "forty-two billion, two hundred fifty-five million, two hundred ninety thousand, eight hundred eighty".