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686876381310 = 235719552731147
BaseRepresentation
bin10011111111011010000…
…01011101000001111110
32102122221121002111022110
421333231001131001332
542223210323200220
61243314024354450
7100424302623360
oct11775501350176
92378847074273
10686876381310
112453368a0739
12b1155615a26
134ca065a51b2
142536039ad30
1512d01d87be0
hex9fed05d07e

686876381310 has 128 divisors (see below), whose sum is σ = 1983584378880. Its totient is φ = 148705455744.

The previous prime is 686876381299. The next prime is 686876381353. The reversal of 686876381310 is 13183678686.

It is a super-2 number, since 2×6868763813102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22037157 + ... + 22068303.

It is an arithmetic number, because the mean of its divisors is an integer number (15496752960).

Almost surely, 2686876381310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686876381310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991792189440).

686876381310 is an abundant number, since it is smaller than the sum of its proper divisors (1296707997570).

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

686876381310 is a wasteful number, since it uses less digits than its factorization.

686876381310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36710.

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 686876381310 in words is "six hundred eighty-six billion, eight hundred seventy-six million, three hundred eighty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 5527 11054 16581 27635 31147 33162 38689 55270 62294 77378 82905 93441 105013 116067 155735 165810 186882 193445 210026 218029 232134 311470 315039 386890 436058 467205 525065 580335 591793 630078 654087 735091 934410 1050130 1090145 1160670 1183586 1308174 1470182 1575195 1775379 2180290 2205273 2958965 3150390 3270435 3550758 3675455 4142551 4410546 5917930 6540870 7350910 8285102 8876895 11026365 12427653 17753790 20712755 22052730 24855306 41425510 62138265 124276530 172149469 344298938 516448407 860747345 1032896814 1205046283 1721494690 2410092566 2582242035 3270839911 3615138849 5164484070 6025231415 6541679822 7230277698 9812519733 12050462830 16354199555 18075694245 19625039466 22895879377 32708399110 36151388490 45791758754 49062598665 68687638131 98125197330 114479396885 137375276262 228958793770 343438190655 686876381310