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13058368596 = 223271310737253
BaseRepresentation
bin11000010100101011…
…01110010001010100
31020201001121212010100
430022111232101110
5203220420243341
65555434054100
7641412205320
oct141225562124
936631555110
1013058368596
1155a1121669
12264527a330
1313014ca230
148bc400980
155166313b6
hex30a56e454

13058368596 has 144 divisors (see below), whose sum is σ = 41006818944. Its totient is φ = 3411687168.

The previous prime is 13058368591. The next prime is 13058368639. The reversal of 13058368596 is 69586385031.

13058368596 is a `hidden beast` number, since 1 + 3 + 0 + 583 + 6 + 8 + 59 + 6 = 666.

It is a super-2 number, since 2×130583685962 (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 (13058368591) 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, 331906 + ... + 369158.

It is an arithmetic number, because the mean of its divisors is an integer number (284769576).

Almost surely, 213058368596 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 13058368596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503409472).

13058368596 is an abundant number, since it is smaller than the sum of its proper divisors (27948450348).

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

13058368596 is a wasteful number, since it uses less digits than its factorization.

13058368596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37390 (or 37385 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 13058368596 in words is "thirteen billion, fifty-eight million, three hundred sixty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 107 117 126 156 182 214 234 252 273 321 364 428 468 546 642 749 819 963 1092 1284 1391 1498 1638 1926 2247 2782 2996 3276 3852 4173 4494 5564 6741 8346 8988 9737 12519 13482 16692 19474 25038 26964 29211 37253 38948 50076 58422 74506 87633 111759 116844 149012 175266 223518 260771 335277 350532 447036 484289 521542 670554 782313 968578 1043084 1341108 1452867 1564626 1937156 2346939 2905734 3129252 3390023 3986071 4358601 4693878 5811468 6780046 7972142 8717202 9387756 10170069 11958213 13560092 15944284 17434404 20340138 23916426 27902497 30510207 35874639 40680276 47832852 51818923 55804994 61020414 71749278 83707491 103637846 111609988 122040828 143498556 155456769 167414982 207275692 251122473 310913538 334829964 362732461 466370307 502244946 621827076 725464922 932740614 1004489892 1088197383 1450929844 1865481228 2176394766 3264592149 4352789532 6529184298 13058368596