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39597418081 = 132153072
BaseRepresentation
bin100100111000001100…
…001010011001100001
310210012121112020221001
4210320030022121201
51122043414334311
630105114032001
72601155333404
oct447014123141
9123177466831
1039597418081
111587a78a311
127811118601
133970848a00
141cb8d33d3b
15106b4b34c1
hex93830a661

39597418081 has 9 divisors (see below), whose sum is σ = 42880478931. Its totient is φ = 36549074952.

The previous prime is 39597418057. The next prime is 39597418097. The reversal of 39597418081 is 18081479593.

It is a happy number.

The square root of 39597418081 is 198991.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5857606225 + 33739811856 = 76535^2 + 183684^2 .

It is not a de Polignac number, because 39597418081 - 213 = 39597409889 is a prime.

It is a super-2 number, since 2×395974180812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39597418051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2579230 + ... + 2594536.

It is an arithmetic number, because the mean of its divisors is an integer number (4764497659).

Almost surely, 239597418081 is an apocalyptic number.

39597418081 is the 198991-st square number.

39597418081 is the 99496-th centered octagonal number.

It is an amenable number.

39597418081 is a deficient number, since it is larger than the sum of its proper divisors (3283060850).

39597418081 is an frugal number, since it uses more digits than its factorization.

39597418081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30640 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 55.

The spelling of 39597418081 in words is "thirty-nine billion, five hundred ninety-seven million, four hundred eighteen thousand, eighty-one".

Divisors: 1 13 169 15307 198991 2586883 234304249 3045955237 39597418081