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52526680969 = 7229211292
BaseRepresentation
bin110000111010110101…
…011000101110001001
312000120200012212022111
4300322311120232021
51330033312242334
640044101022321
73536442264400
oct607265305611
9160520185274
1052526680969
1120304a3a944
12a21b0b49a1
134c51381519
142784128637
1515765e1064
hexc3ad58b89

52526680969 has 27 divisors (see below), whose sum is σ = 63338202837. Its totient is φ = 43431853248.

The previous prime is 52526680879. The next prime is 52526680981. The reversal of 52526680969 is 96908662525.

It is a happy number.

The square root of 52526680969 is 229187.

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

52526680969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10575448569 + 41951232400 = 102837^2 + 204820^2 .

It is not a de Polignac number, because 52526680969 - 211 = 52526678921 is a prime.

It is a super-2 number, since 2×525266809692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52526680769) 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, 46524397 + ... + 46525525.

Almost surely, 252526680969 is an apocalyptic number.

52526680969 is the 229187-th square number.

52526680969 is the 114594-th centered octagonal number.

It is an amenable number.

52526680969 is a deficient number, since it is larger than the sum of its proper divisors (10811521868).

52526680969 is an frugal number, since it uses more digits than its factorization.

52526680969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 58.

The spelling of 52526680969 in words is "fifty-two billion, five hundred twenty-six million, six hundred eighty thousand, nine hundred sixty-nine".

Divisors: 1 7 29 49 203 841 1129 1421 5887 7903 32741 41209 55321 229187 949489 1274641 1604309 6646423 8922487 36964589 46524961 62457409 258752123 1071973081 1811264861 7503811567 52526680969