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422090717328 = 2432721917318199
BaseRepresentation
bin1100010010001101001…
…00010011100010010000
31111100111020011002020200
412021012210103202100
523403420210423303
6521523352535200
742331541620500
oct6110644234220
91440436132220
10422090717328
1115300a22a285
12699793b1500
1330a59203907
1416601dd9a00
15aea5e963a3
hex6246913890

422090717328 has 360 divisors, whose sum is σ = 1454891256000. Its totient is φ = 113583472128.

The previous prime is 422090717297. The next prime is 422090717339. The reversal of 422090717328 is 823717090224.

422090717328 is a `hidden beast` number, since 4 + 220 + 90 + 7 + 17 + 328 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23183973 + ... + 23202171.

It is an arithmetic number, because the mean of its divisors is an integer number (4041364600).

Almost surely, 2422090717328 is an apocalyptic number.

422090717328 is a gapful number since it is divisible by the number (48) 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 422090717328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727445628000).

422090717328 is an abundant number, since it is smaller than the sum of its proper divisors (1032800538672).

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

422090717328 is a wasteful number, since it uses less digits than its factorization.

422090717328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18419 (or 18403 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 422090717328 in words is "four hundred twenty-two billion, ninety million, seven hundred seventeen thousand, three hundred twenty-eight".