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972241816057 is a prime number
BaseRepresentation
bin11100010010111100010…
…00001100100111111001
310102221112012111120121021
432021132020030213321
5111412122401103212
62022350340142441
7130146026040031
oct16113610144771
93387465446537
10972241816057
11345364182506
12138515997a21
13708b34b6425
14350b1a428c1
151a454869307
hexe25e20c9f9

972241816057 has 2 divisors, whose sum is σ = 972241816058. Its totient is φ = 972241816056.

The previous prime is 972241815953. The next prime is 972241816097. The reversal of 972241816057 is 750618142279.

972241816057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 558971550736 + 413270265321 = 747644^2 + 642861^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-972241816057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 972241815995 and 972241816013.

It is not a weakly prime, because it can be changed into another prime (972241816097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 486120908028 + 486120908029.

It is an arithmetic number, because the mean of its divisors is an integer number (486120908029).

Almost surely, 2972241816057 is an apocalyptic number.

It is an amenable number.

972241816057 is a deficient number, since it is larger than the sum of its proper divisors (1).

972241816057 is an equidigital number, since it uses as much as digits as its factorization.

972241816057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 972241816057 in words is "nine hundred seventy-two billion, two hundred forty-one million, eight hundred sixteen thousand, fifty-seven".