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66795125 = 53172432
BaseRepresentation
bin1111111011001…
…1011001110101
311122200112200112
43332303121311
5114044421000
610343352405
71440514655
oct376633165
9148615615
1066795125
1134782191
121a452705
1310ab8b57
148c2a365
155ce6235
hex3fb3675

66795125 has 36 divisors (see below), whose sum is σ = 90659556. Its totient is φ = 49123200.

The previous prime is 66795119. The next prime is 66795137. The reversal of 66795125 is 52159766.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 6220036 + 60575089 = 2494^2 + 7783^2 .

It is not a de Polignac number, because 66795125 - 28 = 66794869 is a prime.

It is a Duffinian number.

Its product of digits (113400) is a multiple of the sum of its prime factors (135).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1553354 + ... + 1553396.

It is an arithmetic number, because the mean of its divisors is an integer number (2518321).

Almost surely, 266795125 is an apocalyptic number.

It is an amenable number.

66795125 is a deficient number, since it is larger than the sum of its proper divisors (23864431).

66795125 is an equidigital number, since it uses as much as digits as its factorization.

66795125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 65 counting only the distinct ones).

The product of its digits is 113400, while the sum is 41.

The square root of 66795125 is about 8172.8284577617. The cubic root of 66795125 is about 405.7404024513.

The spelling of 66795125 in words is "sixty-six million, seven hundred ninety-five thousand, one hundred twenty-five".

Divisors: 1 5 17 25 43 85 125 215 289 425 731 1075 1445 1849 2125 3655 5375 7225 9245 12427 18275 31433 36125 46225 62135 91375 157165 231125 310675 534361 785825 1553375 2671805 3929125 13359025 66795125