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13220244053504 = 291743113312589
BaseRepresentation
bin1100000001100001001111…
…1100110101111000000000
31201210211202112112200111022
43000120103330311320000
53213100024434203004
644041143555005012
72533062654226505
oct300302374657000
951724675480438
1013220244053504
114237746131a24
121596208b99768
1374b8820c2077
14339c1299b4ac
1517dd4eed42be
hexc0613f35e00

13220244053504 has 160 divisors (see below), whose sum is σ = 28872257816160. Its totient is φ = 6022815547392.

The previous prime is 13220244053459. The next prime is 13220244053551. The reversal of 13220244053504 is 40535044202231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42136442 + ... + 42449030.

It is an arithmetic number, because the mean of its divisors is an integer number (180451611351).

Almost surely, 213220244053504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13220244053504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436128908080).

13220244053504 is an abundant number, since it is smaller than the sum of its proper divisors (15652013762656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13220244053504 is a wasteful number, since it uses less digits than its factorization.

13220244053504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312780 (or 312764 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 13220244053504 its reverse (40535044202231), we get a palindrome (53755288255735).

The spelling of 13220244053504 in words is "thirteen trillion, two hundred twenty billion, two hundred forty-four million, fifty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 113 128 136 172 226 256 272 344 452 512 544 688 731 904 1088 1376 1462 1808 1921 2176 2752 2924 3616 3842 4352 4859 5504 5848 7232 7684 8704 9718 11008 11696 14464 15368 19436 22016 23392 28928 30736 38872 46784 57856 61472 77744 82603 93568 122944 155488 165206 187136 245888 310976 312589 330412 374272 491776 621952 625178 660824 983552 1243904 1250356 1321648 2487808 2500712 2643296 5001424 5286592 5314013 10002848 10573184 10628026 13441327 20005696 21146368 21256052 26882654 35322557 40011392 42292736 42512104 53765308 70645114 80022784 85024208 107530616 141290228 160045568 170048416 215061232 228502559 282580456 340096832 430122464 457005118 565160912 600483469 680193664 860244928 914010236 1130321824 1200966938 1360387328 1518869951 1720489856 1828020472 2260643648 2401933876 2720774656 3037739902 3440979712 3656040944 4521287296 4803867752 6075479804 6881959424 7312081888 9042574592 9607735504 12150959608 14624163776 18085149184 19215471008 24301919216 25820789167 29248327552 38430942016 48603838432 51641578334 58496655104 76861884032 97207676864 103283156668 116993310208 153723768064 194415353728 206566313336 307447536128 388830707456 413132626672 777661414912 826265253344 1652530506688 3305061013376 6610122026752 13220244053504