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470080518336 = 263311134146399
BaseRepresentation
bin1101101011100101111…
…10110111100011000000
31122221100201102120021000
412311302332313203000
530200211103041321
6555541344532000
745651014323002
oct6656276674300
91587321376230
10470080518336
111713a621a050
1277131021000
1335436667c80
1418a75778372
15c364111826
hex6d72fb78c0

470080518336 has 448 divisors, whose sum is σ = 1663183872000. Its totient is φ = 128281190400.

The previous prime is 470080518319. The next prime is 470080518409. The reversal of 470080518336 is 633815080074.

It is a junction number, because it is equal to n+sod(n) for n = 470080518291 and 470080518300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10108065 + ... + 10154463.

It is an arithmetic number, because the mean of its divisors is an integer number (3712464000).

Almost surely, 2470080518336 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 470080518336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831591936000).

470080518336 is an abundant number, since it is smaller than the sum of its proper divisors (1193103353664).

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

470080518336 is a wasteful number, since it uses less digits than its factorization.

470080518336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46485 (or 46469 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 470080518336 in words is "four hundred seventy billion, eighty million, five hundred eighteen thousand, three hundred thirty-six".