Search a number
-
+
2804161536 = 2103211139199
BaseRepresentation
bin1010011100100100…
…0001110000000000
321020102112011110200
42213021001300000
521220331132121
61142130525200
7126326660031
oct24711016000
97212464420
102804161536
111209970080
12663136800
13358c564a7
141c85c8a88
151162aca26
hexa7241c00

2804161536 has 264 divisors, whose sum is σ = 8941296000. Its totient is φ = 839393280.

The previous prime is 2804161523. The next prime is 2804161561. The reversal of 2804161536 is 6351614082.

It is a happy number.

2804161536 is a `hidden beast` number, since 2 + 8 + 0 + 4 + 1 + 615 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2804161536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14091165 + ... + 14091363.

Almost surely, 22804161536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2804161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470648000).

2804161536 is an abundant number, since it is smaller than the sum of its proper divisors (6137134464).

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

2804161536 is a wasteful number, since it uses less digits than its factorization.

2804161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2804161536 is about 52954.3344401570. The cubic root of 2804161536 is about 1410.1576766477.

The spelling of 2804161536 in words is "two billion, eight hundred four million, one hundred sixty-one thousand, five hundred thirty-six".