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13026410364 = 223112231632393
BaseRepresentation
bin11000010000110111…
…10011111101111100
31020121211111012200010
430020123303331330
5203134230112424
65552333103220
7640543442532
oct141033637574
936554435603
1013026410364
115585083a00
122636627b10
1312c79bab36
148b8082152
1551391c229
hex3086f3f7c

13026410364 has 144 divisors (see below), whose sum is σ = 35090447616. Its totient is φ = 3751038720.

The previous prime is 13026410363. The next prime is 13026410389. The reversal of 13026410364 is 46301462031.

It is a super-2 number, since 2×130264103642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13026410363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5442352 + ... + 5444744.

It is an arithmetic number, because the mean of its divisors is an integer number (243683664).

Almost surely, 213026410364 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 13026410364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545223808).

13026410364 is an abundant number, since it is smaller than the sum of its proper divisors (22064037252).

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

13026410364 is a wasteful number, since it uses less digits than its factorization.

13026410364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13026410364 its reverse (46301462031), we get a palindrome (59327872395).

The spelling of 13026410364 in words is "thirteen billion, twenty-six million, four hundred ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 163 242 253 276 326 363 484 489 506 652 726 759 978 1012 1452 1518 1793 1956 2393 2783 3036 3586 3749 4786 5379 5566 7172 7179 7498 8349 9572 10758 11132 11247 14358 14996 16698 19723 21516 22494 26323 28716 33396 39446 41239 44988 52646 55039 59169 78892 78969 82478 105292 110078 118338 123717 157938 164956 165117 220156 236676 247434 289553 315876 330234 390059 453629 494868 579106 605429 660468 780118 868659 907258 1158212 1170177 1210858 1360887 1560236 1737318 1814516 1816287 2340354 2421716 2721774 3474636 3632574 4290649 4680708 5443548 6659719 7265148 8581298 8971357 12871947 13319438 17162596 17942714 19979157 25743894 26638876 26914071 35885428 39958314 47197139 51487788 53828142 79916628 94394278 98684927 107656284 141591417 188788556 197369854 283182834 296054781 394739708 566365668 592109562 1085534197 1184219124 2171068394 3256602591 4342136788 6513205182 13026410364