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13856120217 = 3210319377447
BaseRepresentation
bin11001110011110001…
…11001110110011001
31022202122201211121200
430321320321312121
5211334131321332
610210532424413
71000240035642
oct147170716631
938678654550
1013856120217
115970467225
122828478109
1313ca873904
149563426c9
155616b217c
hex339e39d99

13856120217 has 24 divisors (see below), whose sum is σ = 20313681024. Its totient is φ = 9100214784.

The previous prime is 13856120167. The next prime is 13856120219. The reversal of 13856120217 is 71202165831.

13856120217 is a `hidden beast` number, since 1 + 38 + 5 + 612 + 0 + 2 + 1 + 7 = 666.

It is not a de Polignac number, because 13856120217 - 215 = 13856087449 is a prime.

It is a super-2 number, since 2×138561202172 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13856120219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140188 + ... + 217634.

It is an arithmetic number, because the mean of its divisors is an integer number (846403376).

Almost surely, 213856120217 is an apocalyptic number.

It is an amenable number.

13856120217 is a deficient number, since it is larger than the sum of its proper divisors (6457560807).

13856120217 is a wasteful number, since it uses less digits than its factorization.

13856120217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77749 (or 77746 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 13856120217 in words is "thirteen billion, eight hundred fifty-six million, one hundred twenty thousand, two hundred seventeen".

Divisors: 1 3 9 103 193 309 579 927 1737 19879 59637 77447 178911 232341 697023 7977041 14947271 23931123 44841813 71793369 134525439 1539568913 4618706739 13856120217