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3809589601489 = 746126532
BaseRepresentation
bin110111011011111101001…
…111000010010011010001
3111111012012211221020122021
4313123331033002103101
5444404014414221424
612034033514211441
7542143116220000
oct67337517022321
914435184836567
103809589601489
111239702017a61
125163a7a23b81
13218320454389
14d2556ab0c37
15691698794e4
hex376fd3c24d1

3809589601489 has 45 divisors (see below), whose sum is σ = 4525237700529. Its totient is φ = 3206913403680.

The previous prime is 3809589601483. The next prime is 3809589601529. The reversal of 3809589601489 is 9841069859083.

The square root of 3809589601489 is 1951817.

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 2285826491025 + 1523763110464 = 1511895^2 + 1234408^2 .

It is not a de Polignac number, because 3809589601489 - 23 = 3809589601481 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3809589601481) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5833980687 + ... + 5833981339.

Almost surely, 23809589601489 is an apocalyptic number.

3809589601489 is the 1951817-th square number.

3809589601489 is the 975909-th centered octagonal number.

It is an amenable number.

3809589601489 is a deficient number, since it is larger than the sum of its proper divisors (715648099040).

3809589601489 is an frugal number, since it uses more digits than its factorization.

3809589601489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 70.

The spelling of 3809589601489 in words is "three trillion, eight hundred nine billion, five hundred eighty-nine million, six hundred one thousand, four hundred eighty-nine".

Divisors: 1 7 49 61 343 427 653 2401 2989 3721 4571 20923 26047 31997 39833 146461 182329 223979 278831 426409 1276303 1567853 1951817 2429813 2984863 8934121 13662719 17008691 20894041 26010949 95639033 119060837 146258287 182076643 833425859 1023808009 1274536501 1586667889 5833981013 8921755507 11106675223 62452288549 77746726561 544227085927 3809589601489