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426822852120 = 233573743521613
BaseRepresentation
bin1100011011000001001…
…11111101111000011000
31111210201000111102211020
412031200213331320120
523443113122231440
6524025115002440
742560032245030
oct6154047757030
91453630442736
10426822852120
11155018411185
126a87a139420
1331331706282
14169306908c0
15b18163a3d0
hex63609fde18

426822852120 has 512 divisors, whose sum is σ = 1543361402880. Its totient is φ = 92386344960.

The previous prime is 426822852119. The next prime is 426822852151. The reversal of 426822852120 is 21258228624.

It is a happy number.

426822852120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 696284934 + ... + 696285546.

It is an arithmetic number, because the mean of its divisors is an integer number (3014377740).

Almost surely, 2426822852120 is an apocalyptic number.

426822852120 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 426822852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771680701440).

426822852120 is an abundant number, since it is smaller than the sum of its proper divisors (1116538550760).

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

426822852120 is a wasteful number, since it uses less digits than its factorization.

426822852120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 426822852120 in words is "four hundred twenty-six billion, eight hundred twenty-two million, eight hundred fifty-two thousand, one hundred twenty".