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12371680385 = 5171011441081
BaseRepresentation
bin10111000010110100…
…01101110010000001
31011221012111110222122
423201122031302001
5200314122233020
65403344014025
7615403356011
oct134132156201
934835443878
1012371680385
115279544649
122493301315
13122216bc4c
1485512dc41
154c61dd125
hex2e168dc81

12371680385 has 16 divisors (see below), whose sum is σ = 15874959312. Its totient is φ = 9222912000.

The previous prime is 12371680339. The next prime is 12371680393. The reversal of 12371680385 is 58308617321.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2866210369 + 9505470016 = 53537^2 + 97496^2 .

It is a de Polignac number, because none of the positive numbers 2k-12371680385 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711956 + ... + 729125.

It is an arithmetic number, because the mean of its divisors is an integer number (992184957).

Almost surely, 212371680385 is an apocalyptic number.

It is an amenable number.

12371680385 is a deficient number, since it is larger than the sum of its proper divisors (3503278927).

12371680385 is a wasteful number, since it uses less digits than its factorization.

12371680385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441204.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 12371680385 in words is "twelve billion, three hundred seventy-one million, six hundred eighty thousand, three hundred eighty-five".

Divisors: 1 5 17 85 101 505 1717 8585 1441081 7205405 24498377 122491885 145549181 727745905 2474336077 12371680385