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12986618680 = 23571271732111
BaseRepresentation
bin11000001100001000…
…00001001100111000
31020112001121120202001
430012010001030320
5203044033244210
65544352150344
7636551303020
oct140604011470
936461546661
1012986618680
115564675912
1226252383b4
1312bc698069
148b2a84a80
155101ac03a
hex306101338

12986618680 has 128 divisors (see below), whose sum is σ = 33867694080. Its totient is φ = 4389880320.

The previous prime is 12986618663. The next prime is 12986618681. The reversal of 12986618680 is 8681668921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12986618681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6150825 + ... + 6152935.

It is an arithmetic number, because the mean of its divisors is an integer number (264591360).

Almost surely, 212986618680 is an apocalyptic number.

12986618680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12986618680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16933847040).

12986618680 is an abundant number, since it is smaller than the sum of its proper divisors (20881075400).

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

12986618680 is a wasteful number, since it uses less digits than its factorization.

12986618680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 12986618680 in words is "twelve billion, nine hundred eighty-six million, six hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 173 254 280 346 508 635 692 865 889 1016 1211 1270 1384 1730 1778 2111 2422 2540 3460 3556 4222 4445 4844 5080 6055 6920 7112 8444 8890 9688 10555 12110 14777 16888 17780 21110 21971 24220 29554 35560 42220 43942 48440 59108 73885 84440 87884 109855 118216 147770 153797 175768 219710 268097 295540 307594 365203 439420 536194 591080 615188 730406 768985 878840 1072388 1230376 1340485 1460812 1537970 1826015 1876679 2144776 2556421 2680970 2921624 3075940 3652030 3753358 5112842 5361940 6151880 7304060 7506716 9383395 10225684 10723880 12782105 14608120 15013432 18766790 20451368 25564210 37533580 46380781 51128420 75067160 92761562 102256840 185523124 231903905 324665467 371046248 463807810 649330934 927615620 1298661868 1623327335 1855231240 2597323736 3246654670 6493309340 12986618680