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13389459223921 = 114302412
BaseRepresentation
bin1100001011010111100111…
…1101011111010101110001
31202102000112102201222211021
43002311321331133111301
53223333103030131141
644251011015215441
72551233165363664
oct302657175372561
952360472658737
1013389459223921
1142a248a740000
121602b72977581
1376180b578341
143440a62d76db
151834559a26d1
hexc2d79f5f571

13389459223921 has 15 divisors (see below), whose sum is σ = 14728800741915. Its totient is φ = 12171833150400.

The previous prime is 13389459223843. The next prime is 13389459223961. The reversal of 13389459223921 is 12932295498331.

The square root of 13389459223921 is 3659161.

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., 2041723774321 + 11347735449600 = 1428889^2 + 3368640^2 .

It is not a de Polignac number, because 13389459223921 - 213 = 13389459215729 is a prime.

It is a super-2 number, since 2×133894592239212 (a number of 27 digits) contains 22 as substring.

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 13389459223921.

It is not an unprimeable number, because it can be changed into a prime (13389459223961) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 442743361 + ... + 442773601.

It is an arithmetic number, because the mean of its divisors is an integer number (981920049461).

Almost surely, 213389459223921 is an apocalyptic number.

13389459223921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13389459223921 is the 3659161-st square number.

13389459223921 is the 1829581-st centered octagonal number.

It is an amenable number.

13389459223921 is a deficient number, since it is larger than the sum of its proper divisors (1339341517994).

13389459223921 is an frugal number, since it uses more digits than its factorization.

13389459223921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60526 (or 30252 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 61.

The spelling of 13389459223921 in words is "thirteen trillion, three hundred eighty-nine billion, four hundred fifty-nine million, two hundred twenty-three thousand, nine hundred twenty-one".

Divisors: 1 11 121 1331 14641 30241 332651 3659161 40250771 442758481 914518081 10059698891 110656687801 1217223565811 13389459223921