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9824804964 = 22321320993173
BaseRepresentation
bin10010010011001101…
…01010000001100100
3221100201002210201100
421021212222001210
5130110122224324
64302523400100
7465316315152
oct111146520144
927321083640
109824804964
114191934427
121aa2383030
13c07609680
14692b9a3d2
153c78034c9
hex2499aa064

9824804964 has 36 divisors (see below), whose sum is σ = 26745303676. Its totient is φ = 3023016768.

The previous prime is 9824804947. The next prime is 9824804971. The reversal of 9824804964 is 4694084289.

It can be written as a sum of positive squares in 2 ways, for example, as 911556864 + 8913248100 = 30192^2 + 94410^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9824804964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10496119 + ... + 10497054.

Almost surely, 29824804964 is an apocalyptic number.

It is an amenable number.

9824804964 is an abundant number, since it is smaller than the sum of its proper divisors (16920498712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9824804964 is a wasteful number, since it uses less digits than its factorization.

9824804964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20993196 (or 20993191 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 9824804964 is about 99120.1541766355. The cubic root of 9824804964 is about 2141.7789502160.

The spelling of 9824804964 in words is "nine billion, eight hundred twenty-four million, eight hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 20993173 41986346 62979519 83972692 125959038 188938557 251918076 272911249 377877114 545822498 755754228 818733747 1091644996 1637467494 2456201241 3274934988 4912402482 9824804964