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82603984212120 = 23357234275568541
BaseRepresentation
bin10010110010000010111101…
…001000101101000010011000
3101211110212022200112212122010
4102302002331020231002120
541311340424424241440
6451403425123225520
723253640506533250
oct2262027510550230
9354425280485563
1082603984212120
1124358175674008
1293212572182a0
1337126a3608347
1416580a88cc960
15983abc43b580
hex4b20bd22d098

82603984212120 has 128 divisors (see below), whose sum is σ = 295527297623040. Its totient is φ = 18060001512960.

The previous prime is 82603984212067. The next prime is 82603984212137. The reversal of 82603984212120 is 2121248930628.

It is a self number, because there is not a number n which added to its sum of digits gives 82603984212120.

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 31 ways as a sum of consecutive naturals, for example, 2137764951 + ... + 2137803590.

It is an arithmetic number, because the mean of its divisors is an integer number (2308807012680).

Almost surely, 282603984212120 is an apocalyptic number.

It is an amenable number.

82603984212120 is an abundant number, since it is smaller than the sum of its proper divisors (212923313410920).

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

82603984212120 is a wasteful number, since it uses less digits than its factorization.

82603984212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275568585 (or 4275568581 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 82603984212120 in words is "eighty-two trillion, six hundred three billion, nine hundred eighty-four million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 4275568541 8551137082 12826705623 17102274164 21377842705 25653411246 29928979787 34204548328 42755685410 51306822492 59857959574 64133528115 85511370820 89786939361 98338076443 102613644984 119715919148 128267056230 149644898935 171022741640 179573878722 196676152886 239431838296 256534112460 295014229329 299289797870 359147757444 393352305772 448934696805 491690382215 513068224920 590028458658 598579595740 688366535101 718295514888 786704611544 897869393610 983380764430 1180056917316 1197159191480 1376733070202 1475071146645 1795738787220 1966761528860 2065099605303 2360113834632 2753466140404 2950142293290 3441832675505 3591477574440 3933523057720 4130199210606 5506932280808 5900284586580 6883665351010 8260398421212 10325498026515 11800569173160 13767330702020 16520796842424 20650996053030 27534661404040 41301992106060 82603984212120