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426926383104 = 21331337907
BaseRepresentation
bin1100011011001101100…
…10111010000000000000
31111210222020022100122010
412031212302322000000
523443321123224404
6524043254012520
742562430244444
oct6154662720000
91453866270563
10426926383104
111550708a4581
126a8a8947140
1331349cb5000
1416940320824
15b18a78b189
hex6366cba000

426926383104 has 224 divisors, whose sum is σ = 1233380393280. Its totient is φ = 131345350656.

The previous prime is 426926383087. The next prime is 426926383153. The reversal of 426926383104 is 401383629624.

It is a super-2 number, since 2×4269263831042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53989519 + ... + 53997425.

It is an arithmetic number, because the mean of its divisors is an integer number (5506162470).

Almost surely, 2426926383104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426926383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616690196640).

426926383104 is an abundant number, since it is smaller than the sum of its proper divisors (806454010176).

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

426926383104 is an frugal number, since it uses more digits than its factorization.

426926383104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 426926383104 in words is "four hundred twenty-six billion, nine hundred twenty-six million, three hundred eighty-three thousand, one hundred four".