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66814495225 = 5217230412
BaseRepresentation
bin111110001110011101…
…000100100111111001
320101110102021000211021
4332032131010213321
52043314002321400
650405534302441
74553503560502
oct761635044771
9211412230737
1066814495225
112637704a1a5
1210b48057a21
1363ba4b279a
14333b921ba9
151b10b2771a
hexf8e7449f9

66814495225 has 27 divisors (see below), whose sum is σ = 88039130791. Its totient is φ = 50290841600.

The previous prime is 66814495217. The next prime is 66814495249. The reversal of 66814495225 is 52259441866.

The square root of 66814495225 is 258485.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4652649 + 66809842576 = 2157^2 + 258476^2 .

It is not a de Polignac number, because 66814495225 - 23 = 66814495217 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, 21969705 + ... + 21972745.

Almost surely, 266814495225 is an apocalyptic number.

66814495225 is the 258485-th square number.

66814495225 is the 129243-rd centered octagonal number.

It is an amenable number.

66814495225 is a deficient number, since it is larger than the sum of its proper divisors (21224635566).

66814495225 is an frugal number, since it uses more digits than its factorization.

66814495225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126 (or 3063 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The spelling of 66814495225 in words is "sixty-six billion, eight hundred fourteen million, four hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 3041 7225 15205 51697 76025 258485 878849 1292425 4394245 9247681 21971225 46238405 157210577 231192025 786052885 2672579809 3930264425 13362899045 66814495225