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9864263761 = 11290292
BaseRepresentation
bin10010010111111010…
…01011100001010001
3221110110100112000021
421023331023201101
5130200222420021
64310453223441
7466305600322
oct111375134121
927413315007
109864263761
114202135400
121ab3631b81
13c12843a81
1469810c449
153caee9c41
hex24bf4b851

9864263761 has 9 divisors (see below), whose sum is σ = 10843738843. Its totient is φ = 8966519320.

The previous prime is 9864263707. The next prime is 9864263771. The reversal of 9864263761 is 1673624689.

The square root of 9864263761 is 99319.

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

9864263761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9846791361 + 17472400 = 99231^2 + 4180^2 .

It is not a de Polignac number, because 9864263761 - 215 = 9864230993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9864263699 and 9864263708.

It is not an unprimeable number, because it can be changed into a prime (9864263771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1087995 + ... + 1097023.

Almost surely, 29864263761 is an apocalyptic number.

9864263761 is the 99319-th square number.

9864263761 is the 49660-th centered octagonal number.

It is an amenable number.

9864263761 is a deficient number, since it is larger than the sum of its proper divisors (979475082).

9864263761 is an frugal number, since it uses more digits than its factorization.

9864263761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18080 (or 9040 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 52.

The cubic root of 9864263761 is about 2144.6424212177.

The spelling of 9864263761 in words is "nine billion, eight hundred sixty-four million, two hundred sixty-three thousand, seven hundred sixty-one".

Divisors: 1 11 121 9029 99319 1092509 81522841 896751251 9864263761