Search a number
-
+
52912103031690 = 23576721863172009
BaseRepresentation
bin11000000011111100011110…
…00110110000001110001010
320221100100101102202220121020
430001332033012300032022
523413402441334003230
6304311252355453310
714100526144653330
oct1401761706601612
9227310342686536
1052912103031690
111594a9958225a1
125b268782b7236
13236a789040656
14d0cd60a3bb50
1561b57298c810
hex301f8f1b038a

52912103031690 has 128 divisors (see below), whose sum is σ = 147304057835520. Its totient is φ = 11913070422528.

The previous prime is 52912103031679. The next prime is 52912103031709. The reversal of 52912103031690 is 9613030121925.

It is a super-2 number, since 2×529121030316902 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307526406 + ... + 307698414.

It is an arithmetic number, because the mean of its divisors is an integer number (1150812951840).

Almost surely, 252912103031690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52912103031690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73652028917760).

52912103031690 is an abundant number, since it is smaller than the sum of its proper divisors (94391954803830).

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

52912103031690 is a wasteful number, since it uses less digits than its factorization.

52912103031690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193956.

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 52912103031690 in words is "fifty-two trillion, nine hundred twelve billion, one hundred three million, thirty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 469 670 938 1005 1407 2010 2345 2814 4690 7035 14070 21863 43726 65589 109315 131178 153041 172009 218630 306082 327945 344018 459123 516027 655890 765205 860045 918246 1032054 1204063 1464821 1530410 1720090 2295615 2408126 2580135 2929642 3612189 4394463 4591230 5160270 6020315 7224378 7324105 8788926 10253747 11524603 12040630 14648210 18060945 20507494 21972315 23049206 30761241 34573809 36121890 43944630 51268735 57623015 61522482 69147618 80672221 102537470 115246030 153806205 161344442 172869045 242016663 307612410 345738090 403361105 484033326 806722210 1210083315 2420166630 3760632767 7521265534 11281898301 18803163835 22563796602 26324429369 37606327670 52648858738 56409491505 78973288107 112818983010 131622146845 157946576214 251962395389 263244293690 394866440535 503924790778 755887186167 789732881070 1259811976945 1511774372334 1763736767723 2519623953890 3527473535446 3779435930835 5291210303169 7558871861670 8818683838615 10582420606338 17637367677230 26456051515845 52912103031690