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12406650010344 = 23328311239184721
BaseRepresentation
bin1011010010001010010111…
…1101110111101011101000
31121221001201202211000000200
42310202211331313223220
53111232304400312334
642215311503032200
72420231232040542
oct264424575675350
947831652730020
1012406650010344
113a536a3543417
1214845a9b9b660
136bcc32982595
1430c6b1034692
15167ad354c799
hexb48a5f77ae8

12406650010344 has 96 divisors (see below), whose sum is σ = 34009389086400. Its totient is φ = 4085338452480.

The previous prime is 12406650010343. The next prime is 12406650010351. The reversal of 12406650010344 is 44301005660421.

12406650010344 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 6 + 6 + 500 + 103 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12406650010299 and 12406650010308.

It is not an unprimeable number, because it can be changed into a prime (12406650010343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67071904 + ... + 67256624.

It is an arithmetic number, because the mean of its divisors is an integer number (354264469650).

Almost surely, 212406650010344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12406650010344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17004694543200).

12406650010344 is an abundant number, since it is smaller than the sum of its proper divisors (21602739076056).

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

12406650010344 is a wasteful number, since it uses less digits than its factorization.

12406650010344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196055 (or 196048 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 12406650010344 its reverse (44301005660421), we get a palindrome (56707655670765).

The spelling of 12406650010344 in words is "twelve trillion, four hundred six billion, six hundred fifty million, ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 11239 22478 33717 44956 67434 89912 101151 134868 184721 202302 269736 369442 404604 554163 738884 809208 932837 1108326 1477768 1662489 1865674 2216652 2798511 3324978 3731348 4433304 5597022 6649956 7462696 8395533 11194044 13299912 15331843 16791066 22388088 30663686 33582132 45995529 61327372 67164264 91991058 122654744 137986587 183982116 275973174 367964232 551946348 1103892696 2076079319 4152158638 6228237957 8304317276 12456475914 16608634552 18684713871 24912951828 37369427742 49825903656 74738855484 149477710968 172314583477 344629166954 516943750431 689258333908 1033887500862 1378516667816 1550831251293 2067775001724 3101662502586 4135550003448 6203325005172 12406650010344