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868217801490 = 23451385396661
BaseRepresentation
bin11001010001001011101…
…00000100101100010010
310002000000120222010010000
430220211310010230102
5103211102224121430
61502504224350430
7116504150355444
oct14504564045422
93060016863100
10868217801490
11305233350736
12120324475416
1363b460c77a0
14300443ba494
15178b7213e60
hexca25d04b12

868217801490 has 160 divisors (see below), whose sum is σ = 2517094719216. Its totient is φ = 213462397440.

The previous prime is 868217801393. The next prime is 868217801513. The reversal of 868217801490 is 94108712868.

868217801490 is a `hidden beast` number, since 8 + 6 + 82 + 1 + 78 + 0 + 1 + 490 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 172957006161 + 695260795329 = 415881^2 + 833823^2 .

It is a super-3 number, since 3×8682178014903 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8933760 + ... + 9030420.

Almost surely, 2868217801490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868217801490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258547359608).

868217801490 is an abundant number, since it is smaller than the sum of its proper divisors (1648876917726).

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

868217801490 is a wasteful number, since it uses less digits than its factorization.

868217801490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97546 (or 97537 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 868217801490 in words is "eight hundred sixty-eight billion, two hundred seventeen million, eight hundred one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 853 1053 1170 1706 1755 2106 2559 3510 4265 5118 5265 7677 8530 10530 11089 12795 15354 22178 23031 25590 33267 38385 46062 55445 66534 69093 76770 96661 99801 110890 115155 138186 166335 193322 199602 230310 289983 299403 332670 345465 483305 499005 579966 598806 690930 869949 898209 966610 998010 1256593 1449915 1497015 1739898 1796418 2513186 2609847 2899830 2994030 3769779 4349745 4491045 5219694 6282965 7539558 7829541 8699490 8982090 11309337 12565930 13049235 15659082 18848895 22618674 26098470 33928011 37697790 39147705 56546685 67856022 78295410 82451833 101784033 113093370 164903666 169640055 203568066 247355499 339280110 412259165 494710998 508920165 742066497 824518330 1017840330 1071873829 1236777495 1484132994 2143747658 2226199491 2473554990 3215621487 3710332485 4452398982 5359369145 6431242974 6678598473 7420664970 9646864461 10718738290 11130997455 13357196946 16078107435 19293728922 22261994910 28940593383 32156214870 33392992365 48234322305 57881186766 66785984730 86821780149 96468644610 144702966915 173643560298 289405933830 434108900745 868217801490