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12050600660316 = 22322941674201937
BaseRepresentation
bin1010111101011011111111…
…0001011000110101011100
31120200000201002010222110200
42233112333301120311130
53034414112232112231
641343545225503500
72352425055354351
oct257267761306534
946600632128420
1012050600660316
1139266a3a06939
1214275a1941b90
1369549ca298ca
142d9375dc8628
1515d6e53b3be6
hexaf5bfc58d5c

12050600660316 has 144 divisors (see below), whose sum is σ = 32762006353440. Its totient is φ = 3727285309440.

The previous prime is 12050600660311. The next prime is 12050600660347. The reversal of 12050600660316 is 61306600605021.

12050600660316 is a `hidden beast` number, since 12 + 0 + 5 + 0 + 600 + 6 + 6 + 0 + 31 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12050600660311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766900 + ... + 4968836.

It is an arithmetic number, because the mean of its divisors is an integer number (227513933010).

Almost surely, 212050600660316 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 12050600660316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381003176720).

12050600660316 is an abundant number, since it is smaller than the sum of its proper divisors (20711405693124).

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

12050600660316 is a wasteful number, since it uses less digits than its factorization.

12050600660316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202084 (or 4202079 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 12050600660316 in words is "twelve trillion, fifty billion, six hundred million, six hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 41 58 67 82 87 116 123 134 164 174 201 246 261 268 348 369 402 492 522 603 738 804 1044 1189 1206 1476 1943 2378 2412 2747 3567 3886 4756 5494 5829 7134 7772 8241 10701 10988 11658 14268 16482 17487 21402 23316 24723 32964 34974 42804 49446 69948 79663 98892 159326 238989 318652 477978 716967 955956 1433934 2867868 4201937 8403874 12605811 16807748 25211622 37817433 50423244 75634866 121856173 151269732 172279417 243712346 281529779 344558834 365568519 487424692 516838251 563059558 689117668 731137038 844589337 1033676502 1096705557 1126119116 1462274076 1550514753 1689178674 2067353004 2193411114 2533768011 3101029506 3378357348 4386822228 4996103093 5067536022 6202059012 8164363591 9992206186 10135072044 11542720939 14988309279 16328727182 19984412372 23085441878 24493090773 29976618558 32657454364 34628162817 44964927837 46170883756 48986181546 59953237116 69256325634 73479272319 89929855674 97972363092 103884488451 138512651268 146958544638 179859711348 207768976902 293917089276 334738907231 415537953804 669477814462 1004216721693 1338955628924 2008433443386 3012650165079 4016866886772 6025300330158 12050600660316