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52195342369 = 1728921512
BaseRepresentation
bin110000100111000101…
…011011100000100001
311222201120202010012111
4300213011123200201
51323344001423434
635551143155321
73525310042552
oct604705334041
9158646663174
1052195342369
1120154a01295
12a148145b41
134bca830391
142752118329
151557491964
hexc2715b821

52195342369 has 27 divisors (see below), whose sum is σ = 56450080281. Its totient is φ = 48251385600.

The previous prime is 52195342363. The next prime is 52195342379. The reversal of 52195342369 is 96324359125.

It is a happy number.

The square root of 52195342369 is 228463.

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

It can be written as a sum of positive squares in 4 ways, for example, as 68973025 + 52126369344 = 8305^2 + 228312^2 .

It is not a de Polignac number, because 52195342369 - 29 = 52195341857 is a prime.

It is a super-2 number, since 2×521953423692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52195342363) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 345664444 + ... + 345664594.

Almost surely, 252195342369 is an apocalyptic number.

52195342369 is the 228463-rd square number.

52195342369 is the 114232-nd centered octagonal number.

It is an amenable number.

52195342369 is a deficient number, since it is larger than the sum of its proper divisors (4254737912).

52195342369 is an frugal number, since it uses more digits than its factorization.

52195342369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 257 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 49.

Multiplying 52195342369 by its sum of digits (49), we get a square (2557571776081 = 15992412).

The spelling of 52195342369 in words is "fifty-two billion, one hundred ninety-five million, three hundred forty-two thousand, three hundred sixty-nine".

Divisors: 1 17 89 151 289 1513 2567 7921 13439 22801 25721 43639 134657 228463 387617 1196071 2029289 2289169 3883871 6589489 20333207 34497913 180606721 345664519 586464521 3070314257 52195342369