Search a number
-
+
71985000749 is a prime number
BaseRepresentation
bin100001100001010100…
…0111111000100101101
320212210202110220222212
41003002220333010231
52134411130010444
653023000220205
75125566260564
oct1030250770455
9225722426885
1071985000749
112858a724562
1211b4b76a665
136a3276c7cc
1436ac4c8bdb
151d14a0e19e
hex10c2a3f12d

71985000749 has 2 divisors, whose sum is σ = 71985000750. Its totient is φ = 71985000748.

The previous prime is 71985000713. The next prime is 71985000793. The reversal of 71985000749 is 94700058917.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40569210724 + 31415790025 = 201418^2 + 177245^2 .

It is a cyclic number.

It is not a de Polignac number, because 71985000749 - 212 = 71984996653 is a prime.

It is a super-2 number, since 2×719850007492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71985000697 and 71985000706.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (71985000349) 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 as a sum of consecutive naturals, namely, 35992500374 + 35992500375.

It is an arithmetic number, because the mean of its divisors is an integer number (35992500375).

Almost surely, 271985000749 is an apocalyptic number.

It is an amenable number.

71985000749 is a deficient number, since it is larger than the sum of its proper divisors (1).

71985000749 is an equidigital number, since it uses as much as digits as its factorization.

71985000749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 50.

The spelling of 71985000749 in words is "seventy-one billion, nine hundred eighty-five million, seven hundred forty-nine", and thus it is an aban number.