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13678810884 = 223223314631151
BaseRepresentation
bin11001011110101001…
…00001011100000100
31022022022002120221100
430233110201130010
5211003233422014
610141200220100
7662654655054
oct145724413404
938268076840
1013678810884
11588a372092
12279900a630
13139cc0264b
1493a989564
15550d3b009
hex32f521704

13678810884 has 144 divisors (see below), whose sum is σ = 37357092864. Its totient is φ = 4207896000.

The previous prime is 13678810843. The next prime is 13678810897. The reversal of 13678810884 is 48801887631.

It is a happy number.

It is a super-2 number, since 2×136788108842 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13678810884.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11883709 + ... + 11884859.

It is an arithmetic number, because the mean of its divisors is an integer number (259424256).

Almost surely, 213678810884 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 13678810884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18678546432).

13678810884 is an abundant number, since it is smaller than the sum of its proper divisors (23678281980).

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

13678810884 is a wasteful number, since it uses less digits than its factorization.

13678810884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 13678810884 in words is "thirteen billion, six hundred seventy-eight million, eight hundred ten thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 463 558 713 828 926 1116 1151 1389 1426 1852 2139 2302 2778 2852 3453 4167 4278 4604 5556 6417 6906 8334 8556 10359 10649 12834 13812 14353 16668 20718 21298 25668 26473 28706 31947 35681 41436 42596 43059 52946 57412 63894 71362 79419 86118 95841 105892 107043 127788 129177 142724 158838 172236 191682 214086 238257 258354 317676 321129 330119 383364 428172 476514 516708 532913 642258 660238 820663 953028 990357 1065826 1284516 1320476 1598739 1641326 1980714 2131652 2461989 2971071 3197478 3282652 3961428 4796217 4923978 5942142 6394956 7385967 9592434 9847956 11884284 12256999 14771934 16520303 19184868 24513998 29543868 33040606 36770997 49027996 49560909 66081212 73541994 99121818 110312991 147083988 148682727 198243636 220625982 297365454 379966969 441251964 594730908 759933938 1139900907 1519867876 2279801814 3419702721 4559603628 6839405442 13678810884