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12417666727 = 611031319739
BaseRepresentation
bin10111001000010011…
…01000111010100111
31012001102000211101111
423210021220322213
5200412410313402
65412105405451
7616502265664
oct134411507247
935042024344
1012417666727
1152a24a3894
1224a6799887
13122b8504bb
1485b2a0a6b
154ca2739d7
hex2e4268ea7

12417666727 has 8 divisors (see below), whose sum is σ = 12623098320. Its totient is φ = 12212295360.

The previous prime is 12417666707. The next prime is 12417666739. The reversal of 12417666727 is 72766671421.

12417666727 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12417666727 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12417666707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619224 + ... + 638962.

It is an arithmetic number, because the mean of its divisors is an integer number (1577887290).

Almost surely, 212417666727 is an apocalyptic number.

12417666727 is a deficient number, since it is larger than the sum of its proper divisors (205431593).

12417666727 is a wasteful number, since it uses less digits than its factorization.

12417666727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30113.

The product of its digits is 1185408, while the sum is 49.

The spelling of 12417666727 in words is "twelve billion, four hundred seventeen million, six hundred sixty-six thousand, seven hundred twenty-seven".

Divisors: 1 61 10313 19739 629093 1204079 203568307 12417666727