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426520331424 = 25341119787333
BaseRepresentation
bin1100011010011101001…
…01111100010010100000
31111202220221020210110000
412031032211330102200
523442003201101144
6523535110540000
742546366666345
oct6151645742240
91452827223400
10426520331424
11154982675980
126a7b4967600
13312b3b35045
14169024227cc
15b164cce769
hex634e97c4a0

426520331424 has 240 divisors, whose sum is σ = 1440443299680. Its totient is φ = 122445872640.

The previous prime is 426520331401. The next prime is 426520331477. The reversal of 426520331424 is 424133025624.

426520331424 is a `hidden beast` number, since 4 + 26 + 5 + 203 + 3 + 1 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 148062 + ... + 935394.

It is an arithmetic number, because the mean of its divisors is an integer number (6001847082).

Almost surely, 2426520331424 is an apocalyptic number.

426520331424 is a gapful number since it is divisible by the number (44) 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 426520331424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720221649840).

426520331424 is an abundant number, since it is smaller than the sum of its proper divisors (1013922968256).

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

426520331424 is a wasteful number, since it uses less digits than its factorization.

426520331424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787385 (or 787368 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 426520331424 in words is "four hundred twenty-six billion, five hundred twenty million, three hundred thirty-one thousand, four hundred twenty-four".