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830695321980 = 2232519435648683
BaseRepresentation
bin11000001011010010100…
…11001011000101111100
32221102011120210122210200
430011221103023011330
5102102231000300410
61433341031403500
7114005255506446
oct14055123130574
92842146718720
10830695321980
112a0328942497
12114bb2223590
13604464037a4
142c2c4c8b496
151691ceb73c0
hexc1694cb17c

830695321980 has 144 divisors (see below), whose sum is σ = 2714079688320. Its totient is φ = 204979372416.

The previous prime is 830695321919. The next prime is 830695322027. The reversal of 830695321980 is 89123596038.

830695321980 is a `hidden beast` number, since 8 + 30 + 69 + 532 + 19 + 8 + 0 = 666.

It is a super-2 number, since 2×8306953219802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2677282 + ... + 2971401.

Almost surely, 2830695321980 is an apocalyptic number.

It is an amenable number.

830695321980 is an abundant number, since it is smaller than the sum of its proper divisors (1883384366340).

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

830695321980 is a wasteful number, since it uses less digits than its factorization.

830695321980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648760 (or 5648755 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 830695321980 in words is "eight hundred thirty billion, six hundred ninety-five million, three hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 215 228 258 285 342 380 387 430 516 570 645 684 774 817 855 860 1140 1290 1548 1634 1710 1935 2451 2580 3268 3420 3870 4085 4902 7353 7740 8170 9804 12255 14706 16340 24510 29412 36765 49020 73530 147060 5648683 11297366 16946049 22594732 28243415 33892098 50838147 56486830 67784196 84730245 101676294 107324977 112973660 169460490 203352588 214649954 242893369 254190735 321974931 338920980 429299908 485786738 508381470 536624885 643949862 728680107 965924793 971573476 1016762940 1073249770 1214466845 1287899724 1457360214 1609874655 1931849586 2146499540 2186040321 2428933690 2914720428 3219749310 3643400535 3863699172 4372080642 4614974011 4829623965 4857867380 6439498620 7286801070 8744161284 9229948022 9659247930 10930201605 13844922033 14573602140 18459896044 19318495860 21860403210 23074870055 27689844066 41534766099 43720806420 46149740110 55379688132 69224610165 83069532198 92299480220 138449220330 166139064396 207673830495 276898440660 415347660990 830695321980