Search a number
-
+
245342242002213 = 3267788145705161
BaseRepresentation
bin110111110010001100110001…
…001011101101010100100101
31012011200111012200101021101200
4313302030301023231110211
5224124141402423032323
62225444400420113113
7102451251320223426
oct6762146113552445
91164614180337350
10245342242002213
11711a0073607704
1223624b78535799
13a6b889c148385
1444828b0c4764d
151d56dac3da443
hexdf23312ed525

245342242002213 has 24 divisors (see below), whose sum is σ = 355309552719576. Its totient is φ = 163134513484800.

The previous prime is 245342242002149. The next prime is 245342242002223. The reversal of 245342242002213 is 312200242243542.

245342242002213 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 4 + 2 + 2 + 420 + 0 + 221 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56895295152609 + 188446946849604 = 7542897^2 + 13727598^2 .

It is not a de Polignac number, because 245342242002213 - 26 = 245342242002149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245342242002223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17484648 + ... + 28220513.

It is an arithmetic number, because the mean of its divisors is an integer number (14804564696649).

Almost surely, 2245342242002213 is an apocalyptic number.

It is an amenable number.

245342242002213 is a deficient number, since it is larger than the sum of its proper divisors (109967310717363).

245342242002213 is a wasteful number, since it uses less digits than its factorization.

245342242002213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45706725 (or 45706722 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 245342242002213 its reverse (312200242243542), we get a palindrome (557542484245755).

The spelling of 245342242002213 in words is "two hundred forty-five trillion, three hundred forty-two billion, two hundred forty-two million, two thousand, two hundred thirteen".

Divisors: 1 3 9 677 881 2031 2643 6093 7929 596437 1789311 5367933 45705161 137115483 411346449 30942393997 40266246841 92827181991 120798740523 278481545973 362396221569 27260249111357 81780747334071 245342242002213