Search a number
-
+
52918861681 = 725925572
BaseRepresentation
bin110001010010001101…
…011011111101110001
312001121000011201010001
4301102031123331301
51331334212033211
640151030510001
73552243621400
oct612215337561
9161530151101
1052918861681
1120496355034
12a30a505301
134cb46b5a0a
1427c0255637
15159ac5cac1
hexc5235bf71

52918861681 has 27 divisors (see below), whose sum is σ = 62732352459. Its totient is φ = 44510173008.

The previous prime is 52918861603. The next prime is 52918861691. The reversal of 52918861681 is 18616881925.

The square root of 52918861681 is 230041.

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., 4643741025 + 48275120656 = 68145^2 + 219716^2 .

It is not a de Polignac number, because 52918861681 - 213 = 52918853489 is a prime.

It is a super-2 number, since 2×529188616812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52918861691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95006655 + ... + 95007211.

Almost surely, 252918861681 is an apocalyptic number.

52918861681 is the 230041-st square number.

52918861681 is the 115021-st centered octagonal number.

It is an amenable number.

52918861681 is a deficient number, since it is larger than the sum of its proper divisors (9813490778).

52918861681 is an frugal number, since it uses more digits than its factorization.

52918861681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 623 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 55.

The spelling of 52918861681 in words is "fifty-two billion, nine hundred eighteen million, eight hundred sixty-one thousand, six hundred eighty-one".

Divisors: 1 7 49 59 413 557 2891 3481 3899 24367 27293 32863 170569 230041 310249 1610287 1938917 2171743 13572419 15202201 18304691 95006933 128132837 896929859 1079976769 7559837383 52918861681