Search a number
-
+
83579862901 is a prime number
BaseRepresentation
bin100110111010110111…
…1110111111101110101
321222201211020221200211
41031311233313331311
52332132421103101
6102221314305421
76016121053453
oct1156557677565
9258654227624
1083579862901
113249a721067
1214246888271
137b5c9b42a2
14408c3a59d3
152292903c51
hex1375bf7f75

83579862901 has 2 divisors, whose sum is σ = 83579862902. Its totient is φ = 83579862900.

The previous prime is 83579862871. The next prime is 83579862923. The reversal of 83579862901 is 10926897538.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81453730801 + 2126132100 = 285401^2 + 46110^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83579862901 is a prime.

It is a super-2 number, since 2×835798629012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83579862001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41789931450 + 41789931451.

It is an arithmetic number, because the mean of its divisors is an integer number (41789931451).

Almost surely, 283579862901 is an apocalyptic number.

It is an amenable number.

83579862901 is a deficient number, since it is larger than the sum of its proper divisors (1).

83579862901 is an equidigital number, since it uses as much as digits as its factorization.

83579862901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6531840, while the sum is 58.

The spelling of 83579862901 in words is "eighty-three billion, five hundred seventy-nine million, eight hundred sixty-two thousand, nine hundred one".