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315664618904209 = 177669532
BaseRepresentation
bin100011111000110000110010…
…1011110100101101010010001
31112101200020120001000110202101
41013301201211132211222101
5312333322114414413314
63035210153551320401
7123330005345311351
oct10761414536455221
91471606501013671
10315664618904209
1191642682014763
122b4a1b02220101
131071a079917993
1457d436b662b61
152676263d1d174
hex11f18657a5a91

315664618904209 has 3 divisors (see below), whose sum is σ = 315664636671163. Its totient is φ = 315664601137256.

The previous prime is 315664618904179. The next prime is 315664618904249. The reversal of 315664618904209 is 902409816466513.

The square root of 315664618904209 is 17766953.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 95862408174225 + 219802210729984 = 9790935^2 + 14825728^2 .

It is not a de Polignac number, because 315664618904209 - 219 = 315664618379921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315664618904249) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8883477 + ... + 26650429.

Almost surely, 2315664618904209 is an apocalyptic number.

315664618904209 is the 17766953-rd square number.

315664618904209 is the 8883477-th centered octagonal number.

It is an amenable number.

315664618904209 is a deficient number, since it is larger than the sum of its proper divisors (17766954).

315664618904209 is an frugal number, since it uses more digits than its factorization.

315664618904209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35533906 (or 17766953 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 315664618904209 in words is "three hundred fifteen trillion, six hundred sixty-four billion, six hundred eighteen million, nine hundred four thousand, two hundred nine".

Divisors: 1 17766953 315664618904209