Search a number
-
+
5042669184 = 273272157569
BaseRepresentation
bin1001011001001000…
…10000011010000000
3111000102200010200100
410230210100122000
540311410403214
62152213522400
7235650660300
oct45444203200
914012603610
105042669184
112158500aa3
12b88943400
1362494b327
1435ba0b600
151e7a84309
hex12c910680

5042669184 has 288 divisors, whose sum is σ = 17017287300. Its totient is φ = 1429069824.

The previous prime is 5042669131. The next prime is 5042669197. The reversal of 5042669184 is 4819662405.

5042669184 is a `hidden beast` number, since 504 + 2 + 6 + 69 + 1 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4629441600 + 413227584 = 68040^2 + 20328^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8862052 + ... + 8862620.

Almost surely, 25042669184 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 5042669184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8508643650).

5042669184 is an abundant number, since it is smaller than the sum of its proper divisors (11974618116).

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

5042669184 is a wasteful number, since it uses less digits than its factorization.

5042669184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5042669184 is about 71011.7538439940. The cubic root of 5042669184 is about 1714.8263936443.

The spelling of 5042669184 in words is "five billion, forty-two million, six hundred sixty-nine thousand, one hundred eighty-four".