Search a number
-
+
41037706973 is a prime number
BaseRepresentation
bin100110001110000010…
…011011011011011101
310220220222200111212002
4212032002123123131
51133021123110343
630504044252045
72651644516364
oct461602333335
9126828614762
1041037706973
111644979670a
127b53541025
133b40062663
141db43327db
151102b658b8
hex98e09b6dd

41037706973 has 2 divisors, whose sum is σ = 41037706974. Its totient is φ = 41037706972.

The previous prime is 41037706961. The next prime is 41037706981. The reversal of 41037706973 is 37960773014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35117635609 + 5920071364 = 187397^2 + 76942^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41037706973 is a prime.

It is a super-3 number, since 3×410377069733 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41037706943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20518853486 + 20518853487.

It is an arithmetic number, because the mean of its divisors is an integer number (20518853487).

Almost surely, 241037706973 is an apocalyptic number.

It is an amenable number.

41037706973 is a deficient number, since it is larger than the sum of its proper divisors (1).

41037706973 is an equidigital number, since it uses as much as digits as its factorization.

41037706973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 666792, while the sum is 47.

The spelling of 41037706973 in words is "forty-one billion, thirty-seven million, seven hundred six thousand, nine hundred seventy-three".