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42630273840 = 243571112291877
BaseRepresentation
bin100111101100111101…
…100101101100110000
311002000222101021220010
4213230331211230300
51144301322230330
631330054414520
73036263230440
oct475475455460
9132028337803
1042630273840
1117096750780
128318961440
134034c9500b
1420c5a50120
1511978973b0
hex9ecf65b30

42630273840 has 320 divisors, whose sum is σ = 164985154560. Its totient is φ = 8846315520.

The previous prime is 42630273827. The next prime is 42630273863. The reversal of 42630273840 is 4837203624.

It is a Cunningham number, because it is equal to 2064712-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22710982 + ... + 22712858.

It is an arithmetic number, because the mean of its divisors is an integer number (515578608).

Almost surely, 242630273840 is an apocalyptic number.

42630273840 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 42630273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82492577280).

42630273840 is an abundant number, since it is smaller than the sum of its proper divisors (122354880720).

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

42630273840 is a wasteful number, since it uses less digits than its factorization.

42630273840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140 (or 3134 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 42630273840 in words is "forty-two billion, six hundred thirty million, two hundred seventy-three thousand, eight hundred forty".