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235237648576681 = 8921723312
BaseRepresentation
bin110101011111001010001000…
…011110110011000010101001
31010211220111111012011111002001
4311133022020132303002221
5221313113201013423211
62152150403415011001
7100356234140236342
oct6537121036630251
91124814435144061
10235237648576681
1168a547a9a96a43
1222472770669a61
13a134a7995575a
1442137c49cd0c9
151c2e10ed67ac1
hexd5f2887b30a9

235237648576681 has 9 divisors (see below), whose sum is σ = 237911846748823. Its totient is φ = 232593179233360.

The previous prime is 235237648576673. The next prime is 235237648576691. The reversal of 235237648576681 is 186675846732532.

The square root of 235237648576681 is 15337459.

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

235237648576681 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 only one way, i.e., 45170617786281 + 190067030790400 = 6720909^2 + 13786480^2 .

It is not a de Polignac number, because 235237648576681 - 23 = 235237648576673 is a prime.

It is a super-2 number, since 2×2352376485766812 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (235237648576691) 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, 1364947686 + ... + 1365120016.

Almost surely, 2235237648576681 is an apocalyptic number.

235237648576681 is the 15337459-th square number.

235237648576681 is the 7668730-th centered octagonal number.

It is an amenable number.

235237648576681 is a deficient number, since it is larger than the sum of its proper divisors (2674198172142).

235237648576681 is an frugal number, since it uses more digits than its factorization.

235237648576681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344840 (or 172420 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 73.

The spelling of 235237648576681 in words is "two hundred thirty-five trillion, two hundred thirty-seven billion, six hundred forty-eight million, five hundred seventy-six thousand, six hundred eighty-one".

Divisors: 1 89 7921 172331 15337459 1365033851 29697973561 2643119646929 235237648576681