Search a number
-
+
919045601604 = 2232131963772653
BaseRepresentation
bin11010101111110110110…
…00101111100101000100
310020212012212102220000100
431113323120233211010
5110024201133222404
61542112000444100
7123253543501554
oct15277330574504
93225185386010
10919045601604
11324846312209
1212a14a619630
1368886501c60
14326a6a31164
1518d8e5c2d39
hexd5fb62f944

919045601604 has 36 divisors (see below), whose sum is σ = 2501846361196. Its totient is φ = 282783261888.

The previous prime is 919045601587. The next prime is 919045601623. The reversal of 919045601604 is 406106540919.

It is a happy number.

919045601604 is a `hidden beast` number, since 9 + 190 + 456 + 0 + 1 + 6 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66821216004 + 852224385600 = 258498^2 + 923160^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 919045601604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 981885859 + ... + 981886794.

Almost surely, 2919045601604 is an apocalyptic number.

It is an amenable number.

919045601604 is an abundant number, since it is smaller than the sum of its proper divisors (1582800759592).

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

919045601604 is a wasteful number, since it uses less digits than its factorization.

919045601604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963772676 (or 1963772671 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 919045601604 in words is "nine hundred nineteen billion, forty-five million, six hundred one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1963772653 3927545306 5891317959 7855090612 11782635918 17673953877 23565271836 25529044489 35347907754 51058088978 70695815508 76587133467 102116177956 153174266934 229761400401 306348533868 459522800802 919045601604