Search a number
-
+
9072160641 = 3219232306677
BaseRepresentation
bin10000111001011111…
…00010111110000001
3212102020212111210200
420130233202332001
5122034433120031
64100115515413
7440550043635
oct103457427601
925366774720
109072160641
113935aa8625
1219122b8b69
13b176c73bb
14620c3adc5
153816d28e6
hex21cbe2f81

9072160641 has 24 divisors (see below), whose sum is σ = 14393670720. Its totient is φ = 5480662176.

The previous prime is 9072160637. The next prime is 9072160649. The reversal of 9072160641 is 1460612709.

9072160641 is a `hidden beast` number, since 9 + 0 + 7 + 2 + 1 + 6 + 0 + 641 = 666.

9072160641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9072160641 - 22 = 9072160637 is a prime.

It is a super-2 number, since 2×90721606412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9072160596 and 9072160605.

It is not an unprimeable number, because it can be changed into a prime (9072160649) 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 23 ways as a sum of consecutive naturals, for example, 1149406 + ... + 1157271.

It is an arithmetic number, because the mean of its divisors is an integer number (599736280).

Almost surely, 29072160641 is an apocalyptic number.

It is an amenable number.

9072160641 is a deficient number, since it is larger than the sum of its proper divisors (5321510079).

9072160641 is a wasteful number, since it uses less digits than its factorization.

9072160641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306725 (or 2306722 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 9072160641 is about 95247.8904805770. The cubic root of 9072160641 is about 2085.6282970972.

The spelling of 9072160641 in words is "nine billion, seventy-two million, one hundred sixty thousand, six hundred forty-one".

Divisors: 1 3 9 19 23 57 69 171 207 437 1311 3933 2306677 6920031 20760093 43826863 53053571 131480589 159160713 394441767 477482139 1008017849 3024053547 9072160641