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39480497809 = 2325321632
BaseRepresentation
bin100100110001001110…
…001001011010010001
310202220110112002110121
4210301032021122101
51121324001412214
630045340030241
72565235460104
oct446116113221
9122813462417
1039480497809
111581a791395
127799b32381
13395255c80c
141ca75ba73b
1510610ba424
hex931389691

39480497809 has 27 divisors (see below), whose sum is σ = 42324728187. Its totient is φ = 36824117616.

The previous prime is 39480497759. The next prime is 39480497827. The reversal of 39480497809 is 90879408493.

The square root of 39480497809 is 198697.

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., 28461377025 + 11019120784 = 168705^2 + 104972^2 .

It is not a de Polignac number, because 39480497809 - 215 = 39480465041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39480497869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242211562 + ... + 242211724.

Almost surely, 239480497809 is an apocalyptic number.

39480497809 is the 198697-th square number.

39480497809 is the 99349-th centered octagonal number.

It is an amenable number.

39480497809 is a deficient number, since it is larger than the sum of its proper divisors (2844230378).

39480497809 is an frugal number, since it uses more digits than its factorization.

39480497809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

It can be divided in two parts, 39480 and 497809, that added together give a square (537289 = 7332).

The spelling of 39480497809 in words is "thirty-nine billion, four hundred eighty million, four hundred ninety-seven thousand, eight hundred nine".

Divisors: 1 23 53 163 529 1219 2809 3749 8639 26569 28037 64607 86227 198697 457867 611087 1408157 1485961 4570031 10530941 14055001 32387611 74632321 242211643 744915053 1716543383 39480497809