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57878392606225 = 52971215672
BaseRepresentation
bin11010010100011110111010…
…00010000000111000010001
321120221010020200202222202221
431022033131002000320101
530041234422001344400
6323032544432541041
715122401344561622
oct1512173502007021
9246833220688687
1057878392606225
11174950a78154a4
1265a92786b1781
13263aba81087a9
141041487283a49
156a583a95ec1a
hex34a3dd080e11

57878392606225 has 27 divisors (see below), whose sum is σ = 71889072488571. Its totient is φ = 46225510282800.

The previous prime is 57878392606207. The next prime is 57878392606253. The reversal of 57878392606225 is 52260629387875.

The square root of 57878392606225 is 7607785.

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

It can be written as a sum of positive squares in only one way, i.e., 20836221338241 + 37042171267984 = 4564671^2 + 6086228^2 .

It is not a de Polignac number, because 57878392606225 - 25 = 57878392606193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36935795392 + ... + 36935796958.

Almost surely, 257878392606225 is an apocalyptic number.

57878392606225 is the 7607785-th square number.

57878392606225 is the 3803893-rd centered octagonal number.

It is an amenable number.

57878392606225 is a deficient number, since it is larger than the sum of its proper divisors (14010679882346).

57878392606225 is an frugal number, since it uses more digits than its factorization.

57878392606225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 70.

The spelling of 57878392606225 in words is "fifty-seven trillion, eight hundred seventy-eight billion, three hundred ninety-two million, six hundred six thousand, two hundred twenty-five".

Divisors: 1 5 25 971 1567 4855 7835 24275 39175 942841 1521557 2455489 4714205 7607785 12277445 23571025 38038925 61387225 1477431847 2384279819 7387159235 11921399095 36935796175 59606995475 2315135704249 11575678521245 57878392606225