Search a number
-
+
5291168784 = 24311293171157
BaseRepresentation
bin1001110110110000…
…01101010000010000
3111122202021020001020
410323120031100100
541314014400114
62233012035440
7245056123026
oct47330152020
914582236036
105291168784
1122757aa470
121038002b80
13664286b05
14382a16716
1520e7bdaa9
hex13b60d410

5291168784 has 320 divisors, whose sum is σ = 16250388480. Its totient is φ = 1467648000.

The previous prime is 5291168783. The next prime is 5291168821. The reversal of 5291168784 is 4878611925.

It is not an unprimeable number, because it can be changed into a prime (5291168783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33701634 + ... + 33701790.

It is an arithmetic number, because the mean of its divisors is an integer number (50782464).

Almost surely, 25291168784 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 5291168784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125194240).

5291168784 is an abundant number, since it is smaller than the sum of its proper divisors (10959219696).

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

5291168784 is a wasteful number, since it uses less digits than its factorization.

5291168784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The square root of 5291168784 is about 72740.4205651851. The cubic root of 5291168784 is about 1742.5444765230.

The spelling of 5291168784 in words is "five billion, two hundred ninety-one million, one hundred sixty-eight thousand, seven hundred eighty-four".