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9381454768 = 247798291279
BaseRepresentation
bin10001011110010110…
…11010001110110000
3220012210212021120201
420233023122032300
5123203123023033
64150525044544
7451324023040
oct105713321660
926183767521
109381454768
113a8464a904
1219999b6754
13b667ca68a
1464dd4d720
1539d92a47d
hex22f2da3b0

9381454768 has 80 divisors (see below), whose sum is σ = 21078016000. Its totient is φ = 3961840896.

The previous prime is 9381454759. The next prime is 9381454799. The reversal of 9381454768 is 8674541839.

9381454768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 7334353 + ... + 7335631.

It is an arithmetic number, because the mean of its divisors is an integer number (263475200).

Almost surely, 29381454768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9381454768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539008000).

9381454768 is an abundant number, since it is smaller than the sum of its proper divisors (11696561232).

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

9381454768 is a wasteful number, since it uses less digits than its factorization.

9381454768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 55.

The square root of 9381454768 is about 96857.9101983932. The cubic root of 9381454768 is about 2109.0654777615.

The spelling of 9381454768 in words is "nine billion, three hundred eighty-one million, four hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 553 632 829 1106 1264 1279 1658 2212 2558 3316 4424 5116 5803 6632 8848 8953 10232 11606 13264 17906 20464 23212 35812 46424 65491 71624 92848 101041 130982 143248 202082 261964 404164 458437 523928 707287 808328 916874 1047856 1060291 1414574 1616656 1833748 2120582 2829148 3667496 4241164 5658296 7334992 7422037 8482328 11316592 14844074 16964656 29688148 59376296 83762989 118752592 167525978 335051956 586340923 670103912 1172681846 1340207824 2345363692 4690727384 9381454768