Search a number
-
+
12683881509 = 31317191006897
BaseRepresentation
bin10111101000000010…
…01010110000100101
31012201221221221102020
423310001022300211
5201434033202014
65454335333353
7626214133245
oct136401126045
935657857366
1012683881509
1154197a1a02
12255b981259
131271a4c440
1488479bb25
154e380c1a9
hex2f404ac25

12683881509 has 32 divisors (see below), whose sum is σ = 20299063680. Its totient is φ = 6959665152.

The previous prime is 12683881451. The next prime is 12683881517. The reversal of 12683881509 is 90518838621.

It is not a de Polignac number, because 12683881509 - 27 = 12683881381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12683881519) 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, 490852 + ... + 516045.

It is an arithmetic number, because the mean of its divisors is an integer number (634345740).

Almost surely, 212683881509 is an apocalyptic number.

12683881509 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12683881509 is a deficient number, since it is larger than the sum of its proper divisors (7615182171).

12683881509 is a wasteful number, since it uses less digits than its factorization.

12683881509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006949.

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 12683881509 in words is "twelve billion, six hundred eighty-three million, eight hundred eighty-one thousand, five hundred nine".

Divisors: 1 3 13 17 19 39 51 57 221 247 323 663 741 969 4199 12597 1006897 3020691 13089661 17117249 19131043 39268983 51351747 57393129 222524237 248703559 325227731 667572711 746110677 975683193 4227960503 12683881509