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12648618307 = 13171911032731
BaseRepresentation
bin10111100011110101…
…01001100101000011
31012122111121101101201
423301322221211003
5201401021241212
65451035442031
7625305324133
oct136172514503
935574541351
1012648618307
1154008a7166
12254bbb6317
131267653940
1487dc1cac3
154e0693b57
hex2f1ea9943

12648618307 has 32 divisors (see below), whose sum is σ = 15201285120. Its totient is φ = 10397237760.

The previous prime is 12648618223. The next prime is 12648618377. The reversal of 12648618307 is 70381684621.

It is a happy number.

It is not a de Polignac number, because 12648618307 - 215 = 12648585539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12648618377) 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, 4630132 + ... + 4632862.

It is an arithmetic number, because the mean of its divisors is an integer number (475040160).

Almost surely, 212648618307 is an apocalyptic number.

12648618307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12648618307 is a deficient number, since it is larger than the sum of its proper divisors (2552666813).

12648618307 is a wasteful number, since it uses less digits than its factorization.

12648618307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883.

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 12648618307 in words is "twelve billion, six hundred forty-eight million, six hundred eighteen thousand, three hundred seven".

Divisors: 1 13 17 19 221 247 323 1103 2731 4199 14339 18751 20957 35503 46427 51889 243763 272441 356269 603551 674557 882113 3012293 4631497 11467469 39159809 51208981 57233567 665716753 744036371 972970639 12648618307