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26817010081 = 83219732
BaseRepresentation
bin11000111110011010…
…110001100110100001
32120012220221021001121
4120332122301212201
5414410123310311
620153005332241
71636356552601
oct307632614641
976186837047
1026817010081
1110411559654
125244b67081
1326b4b00b04
14142580ac01
15a6e48ab71
hex63e6b19a1

26817010081 has 9 divisors (see below), whose sum is σ = 27157764019. Its totient is φ = 26480485336.

The previous prime is 26817010069. The next prime is 26817010091. The reversal of 26817010081 is 18001071862.

The square root of 26817010081 is 163759.

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., 5767643025 + 21049367056 = 75945^2 + 145084^2 .

It is not a de Polignac number, because 26817010081 - 225 = 26783455649 is a prime.

It is a super-2 number, since 2×268170100812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26817010091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13591011 + ... + 13592983.

Almost surely, 226817010081 is an apocalyptic number.

26817010081 is the 163759-th square number.

26817010081 is the 81880-th centered octagonal number.

It is an amenable number.

26817010081 is a deficient number, since it is larger than the sum of its proper divisors (340753938).

26817010081 is an frugal number, since it uses more digits than its factorization.

26817010081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The spelling of 26817010081 in words is "twenty-six billion, eight hundred seventeen million, ten thousand, eighty-one".

Divisors: 1 83 1973 6889 163759 3892729 13591997 323096507 26817010081