Search a number
-
+
72849535973 is a prime number
BaseRepresentation
bin100001111011000101…
…0111011001111100101
320222001000020212100222
41003312022323033211
52143143440122343
653244442214125
75156164560464
oct1036612731745
9228030225328
1072849535973
1128993733685
12121511b4345
136b3c8c9a06
1437512529db
151d65882a68
hex10f62bb3e5

72849535973 has 2 divisors, whose sum is σ = 72849535974. Its totient is φ = 72849535972.

The previous prime is 72849535963. The next prime is 72849535981. The reversal of 72849535973 is 37953594827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61249815169 + 11599720804 = 247487^2 + 107702^2 .

It is a cyclic number.

It is not a de Polignac number, because 72849535973 - 216 = 72849470437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72849535933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36424767986 + 36424767987.

It is an arithmetic number, because the mean of its divisors is an integer number (36424767987).

Almost surely, 272849535973 is an apocalyptic number.

It is an amenable number.

72849535973 is a deficient number, since it is larger than the sum of its proper divisors (1).

72849535973 is an equidigital number, since it uses as much as digits as its factorization.

72849535973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57153600, while the sum is 62.

The spelling of 72849535973 in words is "seventy-two billion, eight hundred forty-nine million, five hundred thirty-five thousand, nine hundred seventy-three".