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13313844936 = 2334714919699
BaseRepresentation
bin11000110011001000…
…10010011011001000
31021100212100101210000
430121210102123020
5204231321014221
610041041523000
7650633546310
oct143144223310
937325311700
1013313844936
115712355837
1226b6943460
131342409472
14904304440
1552dc97e26
hex3199126c8

13313844936 has 160 divisors (see below), whose sum is σ = 42906600000. Its totient is φ = 3778233984.

The previous prime is 13313844931. The next prime is 13313844941. The reversal of 13313844936 is 63944831331.

It is an interprime number because it is at equal distance from previous prime (13313844931) and next prime (13313844941).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13313844891 and 13313844900.

It is not an unprimeable number, because it can be changed into a prime (13313844931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 666015 + ... + 685713.

It is an arithmetic number, because the mean of its divisors is an integer number (268166250).

Almost surely, 213313844936 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 13313844936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21453300000).

13313844936 is an abundant number, since it is smaller than the sum of its proper divisors (29592755064).

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

13313844936 is a wasteful number, since it uses less digits than its factorization.

13313844936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19873 (or 19860 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 13313844936 in words is "thirteen billion, three hundred thirteen million, eight hundred forty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 149 162 168 189 216 252 298 324 378 447 504 567 596 648 756 894 1043 1134 1192 1341 1512 1788 2086 2268 2682 3129 3576 4023 4172 4536 5364 6258 8046 8344 9387 10728 12069 12516 16092 18774 19699 24138 25032 28161 32184 37548 39398 48276 56322 59097 75096 78796 84483 96552 112644 118194 137893 157592 168966 177291 225288 236388 275786 337932 354582 413679 472776 531873 551572 675864 709164 827358 1063746 1103144 1241037 1418328 1595619 1654716 2127492 2482074 2935151 3191238 3309432 3723111 4254984 4964148 5870302 6382476 7446222 8805453 9928296 11169333 11740604 12764952 14892444 17610906 20546057 22338666 23481208 26416359 29784888 35221812 41092114 44677332 52832718 61638171 70443624 79249077 82184228 89354664 105665436 123276342 158498154 164368456 184914513 211330872 237747231 246552684 316996308 369829026 475494462 493105368 554743539 633992616 739658052 950988924 1109487078 1479316104 1664230617 1901977848 2218974156 3328461234 4437948312 6656922468 13313844936