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12014782504660 = 22513433972706971
BaseRepresentation
bin1010111011010110100011…
…0101111101111011010100
31120112121020211222010222001
42232311220311331323110
53033322233310122120
641315303114245044
72350016340146515
oct256655065757324
946477224863861
1012014782504660
113912493554401
121420666426784
13691cb2167270
142d7738d88a0c
1515c7eaac1e0a
hexaed68d7ded4

12014782504660 has 96 divisors (see below), whose sum is σ = 27873842274432. Its totient is φ = 4322143203840.

The previous prime is 12014782504633. The next prime is 12014782504679. The reversal of 12014782504660 is 6640528741021.

It is a self number, because there is not a number n which added to its sum of digits gives 12014782504660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3084975 + ... + 5791945.

It is an arithmetic number, because the mean of its divisors is an integer number (290352523692).

Almost surely, 212014782504660 is an apocalyptic number.

12014782504660 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 12014782504660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13936921137216).

12014782504660 is an abundant number, since it is smaller than the sum of its proper divisors (15859059769772).

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

12014782504660 is a wasteful number, since it uses less digits than its factorization.

12014782504660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707433 (or 2707431 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 12014782504660 in words is "twelve trillion, fourteen billion, seven hundred eighty-two million, five hundred four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 397 430 559 794 860 1118 1588 1985 2236 2795 3970 5161 5590 7940 10322 11180 17071 20644 25805 34142 51610 68284 85355 103220 170710 221923 341420 443846 887692 1109615 2219230 2706971 4438460 5413942 10827884 13534855 27069710 35190623 54139420 70381246 116399753 140762492 175953115 232799506 351906230 465599012 581998765 703812460 1074667487 1163997530 1513196789 2149334974 2327995060 3026393578 4298669948 5373337435 6052787156 7565983945 10746674870 13970677331 15131967890 21493349740 27941354662 30263935780 46210701941 55882709324 69853386655 92421403882 139706773310 184842807764 231053509705 279413546620 462107019410 600739125233 924214038820 1201478250466 2402956500932 3003695626165 6007391252330 12014782504660