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42206883840 = 21236511257
BaseRepresentation
bin100111010011101110…
…011111000000000000
311000221110200212000000
4213103232133000000
51142414430240330
631220052000000
73022632410322
oct472356370000
9130843625000
1042206883840
111699975a590
12821b000000
133c983542a4
14208571b612
151170613560
hex9d3b9f000

42206883840 has 728 divisors, whose sum is σ = 166306525488. Its totient is φ = 10192158720.

The previous prime is 42206883827. The next prime is 42206883899. The reversal of 42206883840 is 4838860224.

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 55 ways as a sum of consecutive naturals, for example, 164228992 + ... + 164229248.

Almost surely, 242206883840 is an apocalyptic number.

42206883840 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 42206883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83153262744).

42206883840 is an abundant number, since it is smaller than the sum of its proper divisors (124099641648).

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

42206883840 is an equidigital number, since it uses as much as digits as its factorization.

42206883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 42206883840 in words is "forty-two billion, two hundred six million, eight hundred eighty-three thousand, eight hundred forty".