Search a number
-
+
9105018320 = 245113812729
BaseRepresentation
bin10000111101011001…
…11000110111010000
3212111112200212001202
420132230320313100
5122121341041240
64103252050332
7441426243626
oct103654706720
925445625052
109105018320
113952600032
1219213039a8
13b21460008
14625351516
15384523315
hex21eb38dd0

9105018320 has 20 divisors (see below), whose sum is σ = 21169167780. Its totient is φ = 3642007296.

The previous prime is 9105018313. The next prime is 9105018337. The reversal of 9105018320 is 238105019.

9105018320 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 2 ways, for example, as 4917375376 + 4187642944 = 70124^2 + 64712^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 56906285 + ... + 56906444.

It is an arithmetic number, because the mean of its divisors is an integer number (1058458389).

Almost surely, 29105018320 is an apocalyptic number.

It is an amenable number.

9105018320 is an abundant number, since it is smaller than the sum of its proper divisors (12064149460).

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

9105018320 is a wasteful number, since it uses less digits than its factorization.

9105018320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113812742 (or 113812736 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 9105018320 is about 95420.2196601957. The cubic root of 9105018320 is about 2088.1431826866.

The spelling of 9105018320 in words is "nine billion, one hundred five million, eighteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113812729 227625458 455250916 569063645 910501832 1138127290 1821003664 2276254580 4552509160 9105018320