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426500093430 = 2325172312113151
BaseRepresentation
bin1100011010011010110…
…00101111010111110110
31111202212112011121010200
412031031120233113312
523441433010442210
6523533105101330
742546032656425
oct6151530572766
91452775147120
10426500093430
11154972202864
126a7aa027846
13312ac89a4b8
14168dd8752bc
15b1631330c0
hex634d62f5f6

426500093430 has 432 divisors, whose sum is σ = 1236095201952. Its totient is φ = 101993472000.

The previous prime is 426500093401. The next prime is 426500093443. The reversal of 426500093430 is 34390005624.

426500093430 is a `hidden beast` number, since 4 + 26 + 500 + 0 + 93 + 43 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2824503855 + ... + 2824504005.

It is an arithmetic number, because the mean of its divisors is an integer number (2861331486).

Almost surely, 2426500093430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426500093430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618047600976).

426500093430 is an abundant number, since it is smaller than the sum of its proper divisors (809595108522).

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

426500093430 is a wasteful number, since it uses less digits than its factorization.

426500093430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 426500093430 in words is "four hundred twenty-six billion, five hundred million, ninety-three thousand, four hundred thirty".