Search a number
-
+
9444991716 = 2234171714777
BaseRepresentation
bin10001100101111011…
…10010001011100100
3220101020102021220000
420302331302023210
5123320404213331
64201114541300
7453025050666
oct106275621344
926336367800
109444991716
1140074a7086
1219b7137830
13b76a154c4
1465856c536
153a42cb0e6
hex232f722e4

9444991716 has 60 divisors (see below), whose sum is σ = 26143505388. Its totient is φ = 2963132928.

The previous prime is 9444991709. The next prime is 9444991727. The reversal of 9444991716 is 6171994449.

9444991716 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 2 ways, for example, as 8760960000 + 684031716 = 93600^2 + 26154^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 851881 + ... + 862896.

Almost surely, 29444991716 is an apocalyptic number.

It is an amenable number.

9444991716 is an abundant number, since it is smaller than the sum of its proper divisors (16698513672).

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

9444991716 is a wasteful number, since it uses less digits than its factorization.

9444991716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714810 (or 1714799 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 9444991716 is about 97185.3472288904. The cubic root of 9444991716 is about 2113.8160628948.

The spelling of 9444991716 in words is "nine billion, four hundred forty-four million, nine hundred ninety-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 1714777 3429554 5144331 6859108 10288662 15432993 20577324 29151209 30865986 46298979 58302418 61731972 87453627 92597958 116604836 138896937 174907254 185195916 262360881 277793874 349814508 524721762 555587748 787082643 1049443524 1574165286 2361247929 3148330572 4722495858 9444991716