Search a number
-
+
9668747142 = 2331134493529
BaseRepresentation
bin10010000000100110…
…10101111110000110
3220221211110020122000
421000103111332012
5124300144402032
64235230450130
7461412665115
oct110023257606
926854406560
109668747142
11411183491a
121a5a063946
13bb1199372
1467a175c7c
153b8c78e7c
hex2404d5f86

9668747142 has 64 divisors (see below), whose sum is σ = 21730680000. Its totient is φ = 3186376704.

The previous prime is 9668747083. The next prime is 9668747147. The reversal of 9668747142 is 2417478669.

9668747142 is a `hidden beast` number, since 96 + 6 + 87 + 471 + 4 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9668747147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2738034 + ... + 2741562.

It is an arithmetic number, because the mean of its divisors is an integer number (339541875).

Almost surely, 29668747142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9668747142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10865340000).

9668747142 is an abundant number, since it is smaller than the sum of its proper divisors (12061932858).

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

9668747142 is a wasteful number, since it uses less digits than its factorization.

9668747142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4096 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 9668747142 is about 98329.7876637593. The cubic root of 9668747142 is about 2130.3783220085.

The spelling of 9668747142 in words is "nine billion, six hundred sixty-eight million, seven hundred forty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 113 226 339 449 678 898 1017 1347 2034 2694 3051 3529 4041 6102 7058 8082 10587 12123 21174 24246 31761 50737 63522 95283 101474 152211 190566 304422 398777 456633 797554 913266 1196331 1369899 1584521 2392662 2739798 3169042 3588993 4753563 7177986 9507126 10766979 14260689 21533958 28521378 42782067 85564134 179050873 358101746 537152619 1074305238 1611457857 3222915714 4834373571 9668747142