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195204028761 = 347270132
BaseRepresentation
bin1011010111001100010…
…0010001100101011001
3200122212002211002210000
42311303010101211121
511144234212410021
6225401523443213
720050223603400
oct2656304214531
9618762732700
10195204028761
1175870649005
12319b9526509
131553b828581
14963b170637
1551273c0b26
hex2d73111959

195204028761 has 45 divisors (see below), whose sum is σ = 339257795151. Its totient is φ = 111529253808.

The previous prime is 195204028739. The next prime is 195204028771. The reversal of 195204028761 is 167820402591.

The square root of 195204028761 is 441819.

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

195204028761 is a `hidden beast` number, since 1 + 9 + 520 + 40 + 2 + 87 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 164353214025 + 30850814736 = 405405^2 + 175644^2 .

It is not a de Polignac number, because 195204028761 - 229 = 194667157849 is a prime.

It is a super-2 number, since 2×1952040287612 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (195204028771) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27831091 + ... + 27838103.

Almost surely, 2195204028761 is an apocalyptic number.

195204028761 is the 441819-th square number.

195204028761 is the 220910-th centered octagonal number.

It is an amenable number.

195204028761 is a deficient number, since it is larger than the sum of its proper divisors (144053766390).

195204028761 is an frugal number, since it uses more digits than its factorization.

195204028761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14052 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 195204028761 in words is "one hundred ninety-five billion, two hundred four million, twenty-eight thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 7013 21039 49091 63117 147273 189351 343637 441819 568053 1030911 1325457 3092733 3976371 9278199 27834597 49182169 147546507 344275183 442639521 1032825549 1327918563 2409926281 3098476647 3983755689 7229778843 9295429941 21689336529 27886289823 65068009587 195204028761