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13680272317 = 173125958771
BaseRepresentation
bin11001011110110100…
…00110001110111101
31022022101211211122111
430233122012032331
5211004122203232
610141251414021
7663003252565
oct145732061675
938271754574
1013680272317
115890180088
1227995b4311
1313a02c48ba
1493ac49da5
15551029047
hex32f6863bd

13680272317 has 8 divisors (see below), whose sum is σ = 14952252672. Its totient is φ = 12460209600.

The previous prime is 13680272297. The next prime is 13680272321. The reversal of 13680272317 is 71327208631.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 13680272317 - 211 = 13680270269 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13680272317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13680272017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12978859 + ... + 12979912.

It is an arithmetic number, because the mean of its divisors is an integer number (1869031584).

Almost surely, 213680272317 is an apocalyptic number.

13680272317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13680272317 is a deficient number, since it is larger than the sum of its proper divisors (1271980355).

13680272317 is a wasteful number, since it uses less digits than its factorization.

13680272317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25958819.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 13680272317 in words is "thirteen billion, six hundred eighty million, two hundred seventy-two thousand, three hundred seventeen".

Divisors: 1 17 31 527 25958771 441299107 804721901 13680272317