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5682596689 = 72114892
BaseRepresentation
bin1010100101011010…
…11000101101010001
3112200000210211012001
411102231120231101
543114221043224
62335513434001
7260551163200
oct52255305521
915600724161
105682596689
112456750000
12112710b901
136c73b6763
143bc9c9237
15233d3c544
hex152b58b51

5682596689 has 45 divisors (see below), whose sum is σ = 7353977835. Its totient is φ = 4378244640.

The previous prime is 5682596677. The next prime is 5682596707. The reversal of 5682596689 is 9866952865.

The square root of 5682596689 is 75383.

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., 1091179089 + 4591417600 = 33033^2 + 67760^2 .

It is not a de Polignac number, because 5682596689 - 25 = 5682596657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5682596689.

It is not an unprimeable number, because it can be changed into a prime (5682596609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63849357 + ... + 63849445.

Almost surely, 25682596689 is an apocalyptic number.

5682596689 is the 75383-rd square number.

5682596689 is the 37692-nd centered octagonal number.

It is an amenable number.

5682596689 is a deficient number, since it is larger than the sum of its proper divisors (1671381146).

5682596689 is an frugal number, since it uses more digits than its factorization.

5682596689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 107 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 64.

The cubic root of 5682596689 is about 1784.4961335743.

Multiplying 5682596689 by its sum of digits (64), we get a square (363686188096 = 6030642).

The spelling of 5682596689 in words is "five billion, six hundred eighty-two million, five hundred ninety-six thousand, six hundred eighty-nine".

Divisors: 1 7 11 49 77 89 121 539 623 847 979 1331 4361 5929 6853 7921 9317 10769 14641 47971 55447 65219 75383 87131 102487 118459 388129 527681 609917 717409 829213 958441 1303049 4269419 5804491 6709087 9121343 10542851 46963609 63849401 73799957 115971361 516599699 811799527 5682596689