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25813884889 = 1321727272
BaseRepresentation
bin11000000010101000…
…001001111111011001
32110122000101012222201
4120002220021333121
5410331323304024
615505253050201
71602456254422
oct300250117731
973560335881
1025813884889
11aa472a0871
125005026961
13258503b300
14136c4c8649
15a1138d744
hex602a09fd9

25813884889 has 27 divisors (see below), whose sum is σ = 29734187517. Its totient is φ = 22395694464.

The previous prime is 25813884749. The next prime is 25813884917. The reversal of 25813884889 is 98848831852.

The square root of 25813884889 is 160667.

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

It can be written as a sum of positive squares in 4 ways, for example, as 233081289 + 25580803600 = 15267^2 + 159940^2 .

It is not a de Polignac number, because 25813884889 - 233 = 17223950297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25813884889.

It is not an unprimeable number, because it can be changed into a prime (25813884389) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35507044 + ... + 35507770.

Almost surely, 225813884889 is an apocalyptic number.

25813884889 is the 160667-th square number.

25813884889 is the 80334-th centered octagonal number.

It is an amenable number.

25813884889 is a deficient number, since it is larger than the sum of its proper divisors (3920302628).

25813884889 is an frugal number, since it uses more digits than its factorization.

25813884889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 757 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 64.

Multiplying 25813884889 by its sum of digits (64), we get a square (1652088632896 = 12853362).

The spelling of 25813884889 in words is "twenty-five billion, eight hundred thirteen million, eight hundred eighty-four thousand, eight hundred eighty-nine".

Divisors: 1 13 17 169 221 289 727 2873 3757 9451 12359 48841 122863 160667 210103 528529 2088671 2731339 6870877 8984993 35507407 89321401 116804909 152744881 1518463817 1985683453 25813884889