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427023912960 = 212345594363
BaseRepresentation
bin1100011011011001001…
…10111101000000000000
31111211020000211101110000
412031230212331000000
523444021110203320
6524101100240000
742565023241161
oct6155446750000
91454200741400
10427023912960
11155110959167
126a915540000
1331364272398
141694d26b768
15b194103c90
hex636c9bd000

427023912960 has 520 divisors, whose sum is σ = 1557075025440. Its totient is φ = 111917334528.

The previous prime is 427023912919. The next prime is 427023912967. The reversal of 427023912960 is 69219320724.

427023912960 is a `hidden beast` number, since 4 + 270 + 2 + 3 + 91 + 296 + 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 not an unprimeable number, because it can be changed into a prime (427023912967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97871739 + ... + 97876101.

Almost surely, 2427023912960 is an apocalyptic number.

427023912960 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 427023912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778537512720).

427023912960 is an abundant number, since it is smaller than the sum of its proper divisors (1130051112480).

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

427023912960 is an equidigital number, since it uses as much as digits as its factorization.

427023912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 427023912960 in words is "four hundred twenty-seven billion, twenty-three million, nine hundred twelve thousand, nine hundred sixty".