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5289762679825 = 521336134504897
BaseRepresentation
bin100110011111001111001…
…1011001110110000010001
3200201200210122201101221211
41030332132123032300101
51143131413221223300
615130030004220121
71054113151621141
oct114763633166021
920650718641854
105289762679825
11175a415146678
1271523699a641
132c4a8ccb2570
1414405102a921
15928eb2954ba
hex4cf9e6cec11

5289762679825 has 24 divisors (see below), whose sum is σ = 7065824395448. Its totient is φ = 3905204244480.

The previous prime is 5289762679801. The next prime is 5289762679853.

5289762679825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 3859401695296 + 1430360984529 = 1964536^2 + 1195977^2 .

It is not a de Polignac number, because 5289762679825 - 25 = 5289762679793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078224 + ... + 3426673.

Almost surely, 25289762679825 is an apocalyptic number.

It is an amenable number.

5289762679825 is a deficient number, since it is larger than the sum of its proper divisors (1776061715623).

5289762679825 is a wasteful number, since it uses less digits than its factorization.

5289762679825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508533 (or 4508528 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 76.

The spelling of 5289762679825 in words is "five trillion, two hundred eighty-nine billion, seven hundred sixty-two million, six hundred seventy-nine thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 3613 18065 46969 90325 234845 1174225 4504897 22524485 58563661 112622425 292818305 1464091525 16276192861 81380964305 211590507193 406904821525 1057952535965 5289762679825