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12665377360 = 245317369959
BaseRepresentation
bin10111100101110101…
…00101001001010000
31012200200010211111101
423302322211021100
5201414314033420
65452434554144
7625600634266
oct136272451120
935620124441
1012665377360
11540a303519
122555738954
13126ac70b3c
14882142436
154e1da460a
hex2f2ea5250

12665377360 has 80 divisors (see below), whose sum is σ = 30813742080. Its totient is φ = 4835496960.

The previous prime is 12665377327. The next prime is 12665377393. The reversal of 12665377360 is 6377356621.

It is an interprime number because it is at equal distance from previous prime (12665377327) and next prime (12665377393).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12665377360.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146061 + ... + 216019.

It is an arithmetic number, because the mean of its divisors is an integer number (385171776).

Almost surely, 212665377360 is an apocalyptic number.

12665377360 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 12665377360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406871040).

12665377360 is an abundant number, since it is smaller than the sum of its proper divisors (18148364720).

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

12665377360 is a wasteful number, since it uses less digits than its factorization.

12665377360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70076 (or 70070 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 12665377360 in words is "twelve billion, six hundred sixty-five million, three hundred seventy-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 73 80 124 146 155 248 292 310 365 496 584 620 730 1168 1240 1460 2263 2480 2920 4526 5840 9052 11315 18104 22630 36208 45260 69959 90520 139918 181040 279836 349795 559672 699590 1119344 1399180 2168729 2798360 4337458 5107007 5596720 8674916 10214014 10843645 17349832 20428028 21687290 25535035 34699664 40856056 43374580 51070070 81712112 86749160 102140140 158317217 173498320 204280280 316634434 408560560 633268868 791586085 1266537736 1583172170 2533075472 3166344340 6332688680 12665377360