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42558122880 = 2732573131657
BaseRepresentation
bin100111101000101010…
…010110101110000000
311001211221121122101100
4213220222112232000
51144124334413010
631315000134400
73034426035000
oct475052265600
9131757548340
1042558122880
1117059a50689
1282b8767400
134023052440
1420ba22c000
1511913942c0
hex9e8a96b80

42558122880 has 768 divisors, whose sum is σ = 184674672000. Its totient is φ = 8973877248.

The previous prime is 42558122839. The next prime is 42558122899. The reversal of 42558122880 is 8822185524.

42558122880 is a `hidden beast` number, since 4 + 2 + 558 + 12 + 2 + 8 + 80 = 666.

It is a super-2 number, since 2×425581228802 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25683012 + ... + 25684668.

Almost surely, 242558122880 is an apocalyptic number.

42558122880 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 42558122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92337336000).

42558122880 is an abundant number, since it is smaller than the sum of its proper divisors (142116549120).

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

42558122880 is a wasteful number, since it uses less digits than its factorization.

42558122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 42558122880 in words is "forty-two billion, five hundred fifty-eight million, one hundred twenty-two thousand, eight hundred eighty".