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13246389714481 = 7211442972
BaseRepresentation
bin1100000011000010101001…
…0110100111111000110001
31201220100020200012212201021
43000300222112213320301
53214012101231330411
644101150223135441
72535006612540400
oct300605226477061
951810220185637
1013246389714481
114247842730000
12159b2a5144581
1375118aaa5691
1433b1b316b637
1517e88055ba71
hexc0c2a5a7e31

13246389714481 has 45 divisors (see below), whose sum is σ = 16953812398395. Its totient is φ = 10319460006240.

The previous prime is 13246389714479. The next prime is 13246389714487. The reversal of 13246389714481 is 18441798364231.

It is a happy number.

The square root of 13246389714481 is 3639559.

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., 7095910354225 + 6150479360256 = 2663815^2 + 2480016^2 .

It is not a de Polignac number, because 13246389714481 - 21 = 13246389714479 is a prime.

It is a super-2 number, since 2×132463897144812 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13246389714487) 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, 3082704325 + ... + 3082708621.

It is an arithmetic number, because the mean of its divisors is an integer number (376751386631).

Almost surely, 213246389714481 is an apocalyptic number.

13246389714481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13246389714481 is the 3639559-th square number.

13246389714481 is the 1819780-th centered octagonal number.

It is an amenable number.

13246389714481 is a deficient number, since it is larger than the sum of its proper divisors (3707422683914).

13246389714481 is an frugal number, since it uses more digits than its factorization.

13246389714481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652 (or 4315 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 61.

The spelling of 13246389714481 in words is "thirteen trillion, two hundred forty-six billion, three hundred eighty-nine million, seven hundred fourteen thousand, four hundred eighty-one".

Divisors: 1 7 11 49 77 121 539 847 1331 4297 5929 9317 14641 30079 47267 65219 102487 210553 330869 519937 717409 2316083 3639559 5719307 18464209 25476913 40035149 62912377 129249463 203106299 280246043 440386639 904746241 1421744093 2234169289 3082706473 9952208651 15639185023 24575862179 109474295161 172031035253 270334483969 1204217246771 1892341387783 13246389714481