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195536418025 = 5213268032
BaseRepresentation
bin1011011000011011100…
…0001111010011101001
3200200201021021020010111
42312012320033103221
511200424310334100
6225454520014321
720061401062324
oct2660670172351
9620637236114
10195536418025
1175a21234a83
1231a909013a1
1315592656a00
14966d3757bb
15514667b6ba
hex2d86e0f4e9

195536418025 has 27 divisors (see below), whose sum is σ = 262589628549. Its totient is φ = 144374898720.

The previous prime is 195536418023. The next prime is 195536418031. The reversal of 195536418025 is 520814635591.

The square root of 195536418025 is 442195.

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 50399801001 + 145136617024 = 224499^2 + 380968^2 .

It is not a de Polignac number, because 195536418025 - 21 = 195536418023 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 195536418025.

It is not an unprimeable number, because it can be changed into a prime (195536418023) 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, 28739274 + ... + 28746076.

Almost surely, 2195536418025 is an apocalyptic number.

195536418025 is the 442195-th square number.

195536418025 is the 221098-th centered octagonal number.

It is an amenable number.

195536418025 is a deficient number, since it is larger than the sum of its proper divisors (67053210524).

195536418025 is an frugal number, since it uses more digits than its factorization.

195536418025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13642 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 195536418025 by its sum of digits (49), we get a square (9581284483225 = 30953652).

The spelling of 195536418025 in words is "one hundred ninety-five billion, five hundred thirty-six million, four hundred eighteen thousand, twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 6803 34015 88439 170075 442195 1149707 2210975 5748535 28742675 46280809 231404045 601650517 1157020225 3008252585 7821456721 15041262925 39107283605 195536418025