Search a number
-
+
10959147981 = 3253110920717
BaseRepresentation
bin10100011010011011…
…10101001111001101
31001021202120101210200
422031031311033031
5134421020213411
65011244324113
7535402135515
oct121515651715
931252511720
1010959147981
1147141760a1
12215a243639
131058623062
1475d6b8845
154421bee56
hex28d3753cd

10959147981 has 24 divisors (see below), whose sum is σ = 16143879960. Its totient is φ = 7161438336.

The previous prime is 10959147977. The next prime is 10959148009. The reversal of 10959147981 is 18974195901.

10959147981 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 91 + 479 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215825481 + 10743322500 = 14691^2 + 103650^2 .

It is not a de Polignac number, because 10959147981 - 22 = 10959147977 is a prime.

It is a super-2 number, since 2×109591479812 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10959147961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518635 + ... + 539351.

It is an arithmetic number, because the mean of its divisors is an integer number (672661665).

Almost surely, 210959147981 is an apocalyptic number.

It is an amenable number.

10959147981 is a deficient number, since it is larger than the sum of its proper divisors (5184731979).

10959147981 is a wasteful number, since it uses less digits than its factorization.

10959147981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21885 (or 21882 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 10959147981 in words is "ten billion, nine hundred fifty-nine million, one hundred forty-seven thousand, nine hundred eighty-one".

Divisors: 1 3 9 53 159 477 1109 3327 9981 20717 58777 62151 176331 186453 528993 1098001 3294003 9882009 22975153 68925459 206776377 1217683109 3653049327 10959147981