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9782663137 = 133722988813
BaseRepresentation
bin10010001110001011…
…11001011111100001
3221020202210202222221
421013011321133201
5130013330210022
64254420231041
7464265156532
oct110705713741
927222722887
109782663137
114170070675
121a9023b481
13bcb972c90
1468b34a689
153c3c7bcc7
hex2471797e1

9782663137 has 16 divisors (see below), whose sum is σ = 10867281040. Its totient is φ = 8747626752.

The previous prime is 9782663131. The next prime is 9782663153. The reversal of 9782663137 is 7313662879.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3820352481 + 5962310656 = 61809^2 + 77216^2 .

It is a cyclic number.

It is not a de Polignac number, because 9782663137 - 23 = 9782663129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9782663131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65743 + ... + 154555.

It is an arithmetic number, because the mean of its divisors is an integer number (679205065).

Almost surely, 29782663137 is an apocalyptic number.

It is an amenable number.

9782663137 is a deficient number, since it is larger than the sum of its proper divisors (1084617903).

9782663137 is a wasteful number, since it uses less digits than its factorization.

9782663137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89092.

The product of its digits is 2286144, while the sum is 52.

The square root of 9782663137 is about 98907.3462236249. The cubic root of 9782663137 is about 2138.7122960965.

The spelling of 9782663137 in words is "nine billion, seven hundred eighty-two million, six hundred sixty-three thousand, one hundred thirty-seven".

Divisors: 1 13 37 229 481 2977 8473 88813 110149 1154569 3286081 20338177 42719053 264396301 752512549 9782663137