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26526311161 = 725324392
BaseRepresentation
bin11000101101000101…
…110110001011111001
32112110122221020002221
4120231011312023321
5413311213424121
620104102524041
71626226632100
oct305505661371
975418836087
1026526311161
1110282458209
125183736621
13266980b70c
1413d8d79037
15a53bb7b41
hex62d1762f9

26526311161 has 27 divisors (see below), whose sum is σ = 31522136751. Its totient is φ = 22257026064.

The previous prime is 26526311143. The next prime is 26526311183. The reversal of 26526311161 is 16111362562.

The square root of 26526311161 is 162869.

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., 19122741225 + 7403569936 = 138285^2 + 86044^2 .

It is not a de Polignac number, because 26526311161 - 29 = 26526310649 is a prime.

It is a super-3 number, since 3×265263111613 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (26526311101) by changing a digit.

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, 60424180 + ... + 60424618.

Almost surely, 226526311161 is an apocalyptic number.

26526311161 is the 162869-th square number.

26526311161 is the 81435-th centered octagonal number.

It is an amenable number.

26526311161 is a deficient number, since it is larger than the sum of its proper divisors (4995825590).

26526311161 is an frugal number, since it uses more digits than its factorization.

26526311161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The spelling of 26526311161 in words is "twenty-six billion, five hundred twenty-six million, three hundred eleven thousand, one hundred sixty-one".

Divisors: 1 7 49 53 371 439 2597 2809 3073 19663 21511 23267 137641 162869 192721 1140083 1233151 1349047 8632057 9443329 10214213 60424399 71499491 500496437 541353289 3789473023 26526311161