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478338912017 is a prime number
BaseRepresentation
bin1101111010111110011…
…10001000111100010001
31200201200021001102122122
412331133032020330101
530314114230141032
61003425034544025
746362453444341
oct6753716107421
91621607042578
10478338912017
1117495393349a
1278856898015
133615159c155
141921a4a4d21
15c69914d012
hex6f5f388f11

478338912017 has 2 divisors, whose sum is σ = 478338912018. Its totient is φ = 478338912016.

The previous prime is 478338911993. The next prime is 478338912019. The reversal of 478338912017 is 710219833874.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456166510801 + 22172401216 = 675401^2 + 148904^2 .

It is a cyclic number.

It is not a de Polignac number, because 478338912017 - 28 = 478338911761 is a prime.

It is a super-2 number, since 2×4783389120172 (a number of 24 digits) contains 22 as substring.

Together with 478338912019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 478338912017.

It is not a weakly prime, because it can be changed into another prime (478338912019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 239169456008 + 239169456009.

It is an arithmetic number, because the mean of its divisors is an integer number (239169456009).

Almost surely, 2478338912017 is an apocalyptic number.

It is an amenable number.

478338912017 is a deficient number, since it is larger than the sum of its proper divisors (1).

478338912017 is an equidigital number, since it uses as much as digits as its factorization.

478338912017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 478338912017 in words is "four hundred seventy-eight billion, three hundred thirty-eight million, nine hundred twelve thousand, seventeen".