Search a number
-
+
5002778880 = 283251123797
BaseRepresentation
bin1001010100011000…
…00101100100000000
3110220122121111110200
410222030011210000
540221202411010
62144230525200
7234654630111
oct45214054400
913818544420
105002778880
112137a35900
12b77506800
136195c26b8
143565c6208
151e4304cc0
hex12a305900

5002778880 has 648 divisors, whose sum is σ = 19741348536. Its totient is φ = 1167851520.

The previous prime is 5002778873. The next prime is 5002778903. The reversal of 5002778880 is 888772005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1251461376 + 3751317504 = 35376^2 + 61248^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51574992 + ... + 51575088.

Almost surely, 25002778880 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 5002778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870674268).

5002778880 is an abundant number, since it is smaller than the sum of its proper divisors (14738569656).

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

5002778880 is a wasteful number, since it uses less digits than its factorization.

5002778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5002778880 is about 70730.3250381334. The cubic root of 5002778880 is about 1710.2926758710.

The spelling of 5002778880 in words is "five billion, two million, seven hundred seventy-eight thousand, eight hundred eighty".