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426004828704 = 253272132322109
BaseRepresentation
bin1100011001011111101…
…11011101001000100000
31111201121000020112122200
412030233313131020200
523434424214004304
6523412013533200
742530540204100
oct6145767351040
91451530215580
10426004828704
11154738690074
126a6901a4200
13312310b2850
1416893b93200
15b134902e39
hex632fddd220

426004828704 has 216 divisors, whose sum is σ = 1517642855820. Its totient is φ = 112352873472.

The previous prime is 426004828699. The next prime is 426004828723. The reversal of 426004828704 is 407828400624.

426004828704 is a `hidden beast` number, since 42 + 60 + 0 + 482 + 8 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 416721891600 + 9282937104 = 645540^2 + 96348^2 .

It is a super-2 number, since 2×4260048287042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426004828704.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 977599 + ... + 1344510.

Almost surely, 2426004828704 is an apocalyptic number.

It is an amenable number.

426004828704 is an abundant number, since it is smaller than the sum of its proper divisors (1091638027116).

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

426004828704 is a wasteful number, since it uses less digits than its factorization.

426004828704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322152 (or 2322134 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 426004828704 in words is "four hundred twenty-six billion, four million, eight hundred twenty-eight thousand, seven hundred four".