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12665476680 = 23351733118757
BaseRepresentation
bin10111100101110101…
…11101011001001000
31012200200022212201220
423302322331121020
5201414330223210
65452441042040
7625601526663
oct136272753110
935620285656
1012665476680
11540a3710aa
122555786320
13126aca70cc
1488216a6da
154e1dc3c70
hex2f2ebd648

12665476680 has 128 divisors (see below), whose sum is σ = 40355210880. Its totient is φ = 3169013760.

The previous prime is 12665476673. The next prime is 12665476699. The reversal of 12665476680 is 8667456621.

It is a Cunningham number, because it is equal to 1125412-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 665862 + ... + 684618.

It is an arithmetic number, because the mean of its divisors is an integer number (315275085).

Almost surely, 212665476680 is an apocalyptic number.

12665476680 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 12665476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20177605440).

12665476680 is an abundant number, since it is smaller than the sum of its proper divisors (27689734200).

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

12665476680 is a wasteful number, since it uses less digits than its factorization.

12665476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19119 (or 19115 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 12665476680 in words is "twelve billion, six hundred sixty-five million, four hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 331 340 408 510 662 680 993 1020 1324 1655 1986 2040 2648 3310 3972 4965 5627 6620 7944 9930 11254 13240 16881 18757 19860 22508 28135 33762 37514 39720 45016 56270 56271 67524 75028 84405 93785 112540 112542 135048 150056 168810 187570 225080 225084 281355 318869 337620 375140 450168 562710 637738 675240 750280 956607 1125420 1275476 1594345 1913214 2250840 2550952 3188690 3826428 4783035 6208567 6377380 7652856 9566070 12417134 12754760 18625701 19132140 24834268 31042835 37251402 38264280 49668536 62085670 74502804 93128505 105545639 124171340 149005608 186257010 211091278 248342680 316636917 372514020 422182556 527728195 633273834 745028040 844365112 1055456390 1266547668 1583184585 2110912780 2533095336 3166369170 4221825560 6332738340 12665476680