Search a number
-
+
505404521604 = 223214039014489
BaseRepresentation
bin1110101101011000111…
…01001111110010000100
31210022112111202212010100
413112230131033302010
531240032024142404
61024102444524100
751341252360163
oct7265435176204
91708474685110
10505404521604
11185382749584
1281b4ab50630
1338875a42058
141a666d053da
15d230342d39
hex75ac74fc84

505404521604 has 18 divisors (see below), whose sum is σ = 1277550318590. Its totient is φ = 168468173856.

The previous prime is 505404521569. The next prime is 505404521617. The reversal of 505404521604 is 406125404505.

505404521604 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 0 + 45 + 2 + 1 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 430136599104 + 75267922500 = 655848^2 + 274350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 14039014489 = 505404521604 / (5 + 0 + 5 + 4 + 0 + 4 + 5 + 2 + 1 + 6 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7019507209 + ... + 7019507280.

Almost surely, 2505404521604 is an apocalyptic number.

It is an amenable number.

505404521604 is an abundant number, since it is smaller than the sum of its proper divisors (772145796986).

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

505404521604 is a wasteful number, since it uses less digits than its factorization.

505404521604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14039014499 (or 14039014494 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 505404521604 in words is "five hundred five billion, four hundred four million, five hundred twenty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 14039014489 28078028978 42117043467 56156057956 84234086934 126351130401 168468173868 252702260802 505404521604