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12386503676624 = 2471197239433679
BaseRepresentation
bin1011010000111111010100…
…1001101101001011010000
31121212010201201221012122112
42310033311021231023100
53110420024420122444
642202140425124452
72415616052033660
oct264176511551320
947763651835575
1012386503676624
113a460a5456740
121480707029728
136bb071b9075c
1430b71d53a1a0
15167304a2869e
hexb43f526d2d0

12386503676624 has 160 divisors (see below), whose sum is σ = 30355657113600. Its totient is φ = 4756163973120.

The previous prime is 12386503676587. The next prime is 12386503676629. The reversal of 12386503676624 is 42667630568321.

12386503676624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12386503676629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28344617 + ... + 28778295.

It is an arithmetic number, because the mean of its divisors is an integer number (189722856960).

Almost surely, 212386503676624 is an apocalyptic number.

12386503676624 is a gapful number since it is divisible by the number (14) 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 12386503676624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177828556800).

12386503676624 is an abundant number, since it is smaller than the sum of its proper divisors (17969153436976).

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

12386503676624 is a wasteful number, since it uses less digits than its factorization.

12386503676624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434041 (or 434035 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 59.

The spelling of 12386503676624 in words is "twelve trillion, three hundred eighty-six billion, five hundred three million, six hundred seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 97 112 154 176 194 239 308 388 478 616 679 776 956 1067 1232 1358 1552 1673 1912 2134 2629 2716 3346 3824 4268 5258 5432 6692 7469 8536 10516 10864 13384 14938 17072 18403 21032 23183 26768 29876 36806 42064 46366 59752 73612 92732 119504 147224 162281 185464 255013 294448 324562 370928 433679 510026 649124 867358 1020052 1298248 1734716 1785091 2040104 2596496 3035753 3469432 3570182 4080208 4770469 6071506 6938864 7140364 9540938 12143012 14280728 19081876 24286024 28561456 33393283 38163752 42066863 48572048 66786566 76327504 84133726 103649281 133573132 168267452 207298562 267146264 294468041 336534904 414597124 462735493 534292528 588936082 673069808 725544967 829194248 925470986 1140142091 1177872164 1451089934 1658388496 1850941972 2280284182 2355744328 2902179868 3239148451 3701883944 4560568364 4711488656 5804359736 6478296902 7403767888 7980994637 9121136728 10053980257 11608719472 12956593804 15961989274 18242273456 20107960514 25913187608 31923978548 40215921028 51826375216 63847957096 70377861799 80431842056 110593782827 127695914192 140755723598 160863684112 221187565654 281511447196 442375131308 563022894392 774156479789 884750262616 1126045788784 1548312959578 1769500525232 3096625919156 6193251838312 12386503676624