Search a number
-
+
9442289664 = 21133170759
BaseRepresentation
bin10001100101100110…
…11110100000000000
3220101001100000101000
420302303132200000
5123314211232124
64200541012000
7452663065203
oct106263364000
926331300330
109442289664
114005a20a85
1219b6254000
13b762aa662
1465806793a
153a3e456c9
hex232cde800

9442289664 has 96 divisors (see below), whose sum is σ = 27970488000. Its totient is φ = 3147411456.

The previous prime is 9442289663. The next prime is 9442289669. The reversal of 9442289664 is 4669822449.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9442289664.

It is not an unprimeable number, because it can be changed into a prime (9442289663) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30084 + ... + 140675.

It is an arithmetic number, because the mean of its divisors is an integer number (291359250).

Almost surely, 29442289664 is an apocalyptic number.

It is an amenable number.

9442289664 is an abundant number, since it is smaller than the sum of its proper divisors (18528198336).

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

9442289664 is a wasteful number, since it uses less digits than its factorization.

9442289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170790 (or 170764 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 9442289664 is about 97171.4446944163. Note that the first 3 decimals coincide. The cubic root of 9442289664 is about 2113.6144680233.

The spelling of 9442289664 in words is "nine billion, four hundred forty-two million, two hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 170759 341518 512277 683036 1024554 1366072 1536831 2049108 2732144 3073662 4098216 4610493 5464288 6147324 8196432 9220986 10928576 12294648 16392864 18441972 21857152 24589296 32785728 36883944 43714304 49178592 65571456 73767888 87428608 98357184 131142912 147535776 174857216 196714368 262285824 295071552 349714432 393428736 524571648 590143104 786857472 1049143296 1180286208 1573714944 2360572416 3147429888 4721144832 9442289664