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426330660960 = 25335192461593
BaseRepresentation
bin1100011010000110100…
…10011010000001100000
31111202102201100112111000
412031003102122001200
523441111122122320
6523504213352000
742541604553261
oct6150322320140
91452381315430
10426330660960
111548955a8726
126a761338600
13312837565b9
14168c516c968
15b153315c90
hex634349a060

426330660960 has 576 divisors, whose sum is σ = 1580902868160. Its totient is φ = 107289722880.

The previous prime is 426330660929. The next prime is 426330660971. The reversal of 426330660960 is 69066033624.

It is a happy number.

426330660960 is a `hidden beast` number, since 4 + 2 + 6 + 3 + 30 + 6 + 609 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 718938424 + ... + 718939016.

It is an arithmetic number, because the mean of its divisors is an integer number (2744623035).

Almost surely, 2426330660960 is an apocalyptic number.

426330660960 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 426330660960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790451434080).

426330660960 is an abundant number, since it is smaller than the sum of its proper divisors (1154572207200).

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

426330660960 is a wasteful number, since it uses less digits than its factorization.

426330660960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 426330660960 in words is "four hundred twenty-six billion, three hundred thirty million, six hundred sixty thousand, nine hundred sixty".