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938058407089 is a prime number
BaseRepresentation
bin11011010011010001010…
…00110101110010110001
310022200021220101110222021
431221220220311302301
5110332120423011324
61554534343111441
7124525650620416
oct15515050656261
93280256343867
10938058407089
113319125743a1
12131975a42581
136a5c650420b
143358bb8010d
151960383bae4
hexda68a35cb1

938058407089 has 2 divisors, whose sum is σ = 938058407090. Its totient is φ = 938058407088.

The previous prime is 938058407081. The next prime is 938058407093. The reversal of 938058407089 is 980704850839.

938058407089 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., 891485314225 + 46573092864 = 944185^2 + 215808^2 .

It is a cyclic number.

It is not a de Polignac number, because 938058407089 - 23 = 938058407081 is a prime.

It is a super-2 number, since 2×9380584070892 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (938058407081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 469029203544 + 469029203545.

It is an arithmetic number, because the mean of its divisors is an integer number (469029203545).

Almost surely, 2938058407089 is an apocalyptic number.

It is an amenable number.

938058407089 is a deficient number, since it is larger than the sum of its proper divisors (1).

938058407089 is an equidigital number, since it uses as much as digits as its factorization.

938058407089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 938058407089 in words is "nine hundred thirty-eight billion, fifty-eight million, four hundred seven thousand, eighty-nine".