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185388118417 is a prime number
BaseRepresentation
bin1010110010100111111…
…1100011000110010001
3122201112000110012012001
42230221333203012101
511014133324242132
6221055514434001
716252043002105
oct2545177430621
9581460405161
10185388118417
117169383a307
122bb1a132901
13146360145b8
148d8964b905
154c50777ce7
hex2b29fe3191

185388118417 has 2 divisors, whose sum is σ = 185388118418. Its totient is φ = 185388118416.

The previous prime is 185388118387. The next prime is 185388118457. The reversal of 185388118417 is 714811883581.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138837466881 + 46550651536 = 372609^2 + 215756^2 .

It is a cyclic number.

It is not a de Polignac number, because 185388118417 - 235 = 151028380049 is a prime.

It is a super-2 number, since 2×1853881184172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (185388118457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92694059208 + 92694059209.

It is an arithmetic number, because the mean of its divisors is an integer number (92694059209).

Almost surely, 2185388118417 is an apocalyptic number.

It is an amenable number.

185388118417 is a deficient number, since it is larger than the sum of its proper divisors (1).

185388118417 is an equidigital number, since it uses as much as digits as its factorization.

185388118417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1720320, while the sum is 55.

The spelling of 185388118417 in words is "one hundred eighty-five billion, three hundred eighty-eight million, one hundred eighteen thousand, four hundred seventeen".