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9945767673 = 321105085297
BaseRepresentation
bin10010100001101000…
…00101111011111001
3221200010201100100200
421100310011323321
5130332104031143
64322524152413
7501315426132
oct112064057371
927603640320
109945767673
114244143506
121b16998709
13c266ac83a
146a4c86c89
153d32491d3
hex250d05ef9

9945767673 has 6 divisors (see below), whose sum is σ = 14366108874. Its totient is φ = 6630511776.

The previous prime is 9945767651. The next prime is 9945767681. The reversal of 9945767673 is 3767675499.

9945767673 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 only one way, i.e., 5149928169 + 4795839504 = 71763^2 + 69252^2 .

It is not a de Polignac number, because 9945767673 - 26 = 9945767609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9945767673.

It is not an unprimeable number, because it can be changed into a prime (9945767633) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 552542640 + ... + 552542657.

It is an arithmetic number, because the mean of its divisors is an integer number (2394351479).

Almost surely, 29945767673 is an apocalyptic number.

It is an amenable number.

9945767673 is a deficient number, since it is larger than the sum of its proper divisors (4420341201).

9945767673 is a wasteful number, since it uses less digits than its factorization.

9945767673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105085303 (or 1105085300 counting only the distinct ones).

The product of its digits is 60011280, while the sum is 63.

The square root of 9945767673 is about 99728.4697215394. The cubic root of 9945767673 is about 2150.5329612937.

The spelling of 9945767673 in words is "nine billion, nine hundred forty-five million, seven hundred sixty-seven thousand, six hundred seventy-three".

Divisors: 1 3 9 1105085297 3315255891 9945767673