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470993087304 = 23326541570657
BaseRepresentation
bin1101101101010010110…
…00000010101101001000
31200000201022120212112200
412312221120002231020
530204043212243204
61000212104240200
746012435120635
oct6665130025510
91600638525480
10470993087304
11171824356683
1277346770060
13355507425cc
1418b20a4718c
15c3b92c2539
hex6da9602b48

470993087304 has 24 divisors (see below), whose sum is σ = 1275606278310. Its totient is φ = 156997695744.

The previous prime is 470993087281. The next prime is 470993087317. The reversal of 470993087304 is 403780399074.

470993087304 is a `hidden beast` number, since 470 + 9 + 93 + 0 + 87 + 3 + 0 + 4 = 666.

470993087304 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 470873184804 + 119902500 = 686202^2 + 10950^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3270785257 + ... + 3270785400.

Almost surely, 2470993087304 is an apocalyptic number.

It is an amenable number.

470993087304 is an abundant number, since it is smaller than the sum of its proper divisors (804613191006).

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

470993087304 is a wasteful number, since it uses less digits than its factorization.

470993087304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541570669 (or 6541570662 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 470993087304 in words is "four hundred seventy billion, nine hundred ninety-three million, eighty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6541570657 13083141314 19624711971 26166282628 39249423942 52332565256 58874135913 78498847884 117748271826 156997695768 235496543652 470993087304