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1813311889 = 9724392
BaseRepresentation
bin110110000010100…
…1111000110010001
311200101001210021121
41230011033012101
512203201440024
6455533322241
762635616404
oct15405170621
94611053247
101813311889
11850627074
12427336381
1322b8a121c
14132b7dd3b
15a92d78e4
hex6c14f191

1813311889 has 9 divisors (see below), whose sum is σ = 1836381627. Its totient is φ = 1790529984.

The previous prime is 1813311859. The next prime is 1813311893. The reversal of 1813311889 is 9881133181.

The square root of 1813311889 is 42583.

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., 814246225 + 999065664 = 28535^2 + 31608^2 .

It is not a de Polignac number, because 1813311889 - 27 = 1813311761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1813311809) 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, 4130332 + ... + 4130770.

It is an arithmetic number, because the mean of its divisors is an integer number (204042403).

Almost surely, 21813311889 is an apocalyptic number.

1813311889 is the 42583-rd square number.

1813311889 is the 21292-nd centered octagonal number.

It is an amenable number.

1813311889 is a deficient number, since it is larger than the sum of its proper divisors (23069738).

1813311889 is an frugal number, since it uses more digits than its factorization.

1813311889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 536 counting only the distinct ones).

The product of its digits is 41472, while the sum is 43.

The cubic root of 1813311889 is about 1219.4317628311.

The spelling of 1813311889 in words is "one billion, eight hundred thirteen million, three hundred eleven thousand, eight hundred eighty-nine".

Divisors: 1 97 439 9409 42583 192721 4130551 18693937 1813311889