Search a number
-
+
12417357693 = 313620351329
BaseRepresentation
bin10111001000010000…
…11101011101111101
31012001101110010110210
423210020131131331
5200412320421233
65412055023033
7616466541006
oct134410353575
935041403423
1012417357693
1152a2302694
1224a666aa79
13122b772940
1485b2201ad
154ca212163
hex2e421d77d

12417357693 has 16 divisors (see below), whose sum is σ = 17833273920. Its totient is φ = 7640070144.

The previous prime is 12417357683. The next prime is 12417357763. The reversal of 12417357693 is 39675371421.

It is a happy number.

It is not a de Polignac number, because 12417357693 - 214 = 12417341309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12417357683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216253 + ... + 267581.

It is an arithmetic number, because the mean of its divisors is an integer number (1114579620).

Almost surely, 212417357693 is an apocalyptic number.

12417357693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12417357693 is a deficient number, since it is larger than the sum of its proper divisors (5415916227).

12417357693 is a wasteful number, since it uses less digits than its factorization.

12417357693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57548.

The product of its digits is 952560, while the sum is 48.

The spelling of 12417357693 in words is "twelve billion, four hundred seventeen million, three hundred fifty-seven thousand, six hundred ninety-three".

Divisors: 1 3 13 39 6203 18609 51329 80639 153987 241917 667277 2001831 318393787 955181361 4139119231 12417357693