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426483782280 = 23345292281557
BaseRepresentation
bin1100011010011000110…
…10100001001010001000
31111202211101110220110000
412031030122201022020
523441414322013110
6523531323323000
742545444223153
oct6151432411210
91452741426400
10426483782280
11154963a81a76
126a7a4680460
13312a93a912a
14168db62ac9a
15b1619b01c0
hex634c6a1288

426483782280 has 480 divisors, whose sum is σ = 1492551557640. Its totient is φ = 109220106240.

The previous prime is 426483782279. The next prime is 426483782317. The reversal of 426483782280 is 82287384624.

426483782280 is a `hidden beast` number, since 4 + 2 + 6 + 48 + 378 + 228 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15789932964 + 410693849316 = 125658^2 + 640854^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 765679762 + ... + 765680318.

Almost surely, 2426483782280 is an apocalyptic number.

426483782280 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 426483782280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746275778820).

426483782280 is an abundant number, since it is smaller than the sum of its proper divisors (1066067775360).

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

426483782280 is a wasteful number, since it uses less digits than its factorization.

426483782280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 426483782280 in words is "four hundred twenty-six billion, four hundred eighty-three million, seven hundred eighty-two thousand, two hundred eighty".