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87163705225 = 5213724312
BaseRepresentation
bin101000100101101011…
…1001001011110001001
322022222120220000010201
41101023113021132021
52412002402031400
6104013100412201
76203666161402
oct1211327113611
9268876800121
1087163705225
1133a69703923
1214a86b47061
1382b1327b4c
14430c34a9a9
15240237306a
hex144b5c9789

87163705225 has 27 divisors (see below), whose sum is σ = 109130882581. Its totient is φ = 69061371200.

The previous prime is 87163705177. The next prime is 87163705241. The reversal of 87163705225 is 52250736178.

The square root of 87163705225 is 295235.

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 254306809 + 86909398416 = 15947^2 + 294804^2 .

It is not a de Polignac number, because 87163705225 - 215 = 87163672457 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 202235760 + ... + 202236190.

Almost surely, 287163705225 is an apocalyptic number.

87163705225 is the 295235-th square number.

87163705225 is the 147618-th centered octagonal number.

It is an amenable number.

87163705225 is a deficient number, since it is larger than the sum of its proper divisors (21967177356).

87163705225 is an frugal number, since it uses more digits than its factorization.

87163705225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 87163705225 in words is "eighty-seven billion, one hundred sixty-three million, seven hundred five thousand, two hundred twenty-five".

Divisors: 1 5 25 137 431 685 2155 3425 10775 18769 59047 93845 185761 295235 469225 928805 1476175 4644025 8089439 25449257 40447195 127246285 202235975 636231425 3486548209 17432741045 87163705225