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426803160420 = 2234572131724329
BaseRepresentation
bin1100011010111110111…
…00110110010101100100
31111210122122102222220000
412031133130312111210
523443043102113140
6524023132541300
742556403001600
oct6153734662544
91453578388800
10426803160420
1115500829154a
126a873621830
133132a600290
141692bc06500
15b17ea4aa30
hex635f736564

426803160420 has 720 divisors, whose sum is σ = 1776037641840. Its totient is φ = 84750188544.

The previous prime is 426803160397. The next prime is 426803160431. The reversal of 426803160420 is 24061308624.

426803160420 is a `hidden beast` number, since 4 + 26 + 8 + 0 + 3 + 1 + 604 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 976437504 + 425826722916 = 31248^2 + 652554^2 .

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 239 ways as a sum of consecutive naturals, for example, 17530816 + ... + 17555144.

It is an arithmetic number, because the mean of its divisors is an integer number (2466718947).

Almost surely, 2426803160420 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 426803160420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888018820920).

426803160420 is an abundant number, since it is smaller than the sum of its proper divisors (1349234481420).

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

426803160420 is a wasteful number, since it uses less digits than its factorization.

426803160420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24394 (or 24376 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 426803160420 in words is "four hundred twenty-six billion, eight hundred three million, one hundred sixty thousand, four hundred twenty".