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52660611441 = 32764932
BaseRepresentation
bin110001000010110100…
…010010100101110001
312000221000020020101100
4301002310102211301
51330322104031231
640105243355013
73542656545264
oct610264224561
9160830206340
1052660611441
11203735a6889
12a257b22a69
134c73045019
142797c2ccdb
1515832491e6
hexc42d12971

52660611441 has 9 divisors (see below), whose sum is σ = 76066322059. Its totient is φ = 35106615336.

The previous prime is 52660611403. The next prime is 52660611449. The reversal of 52660611441 is 14411606625.

The square root of 52660611441 is 229479.

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

52660611441 is a `hidden beast` number, since 5 + 2 + 6 + 606 + 1 + 1 + 4 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6351293025 + 46309318416 = 79695^2 + 215196^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 52660611441 - 29 = 52660610929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52660611396 and 52660611405.

It is not an unprimeable number, because it can be changed into a prime (52660611449) 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, 650191 + ... + 726683.

Almost surely, 252660611441 is an apocalyptic number.

52660611441 is the 229479-th square number.

52660611441 is the 114740-th centered octagonal number.

It is an amenable number.

52660611441 is a deficient number, since it is larger than the sum of its proper divisors (23405710618).

52660611441 is an frugal number, since it uses more digits than its factorization.

52660611441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152992 (or 76496 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 52660611441 by its sum of digits (36), we get a square (1895782011876 = 13768742).

The spelling of 52660611441 in words is "fifty-two billion, six hundred sixty million, six hundred eleven thousand, four hundred forty-one".

Divisors: 1 3 9 76493 229479 688437 5851179049 17553537147 52660611441