Search a number
-
+
5079158784 = 2123117
BaseRepresentation
bin1001011101011110…
…11101000000000000
3111002222100000000000
410232233131000000
540400231040114
62200000000000
7236603065050
oct45657350000
914088300000
105079158784
112177064197
12b99000000
1362c3860cb
143627c9560
151ead90e09
hex12ebdd000

5079158784 has 312 divisors, whose sum is σ = 17412100160. Its totient is φ = 1451188224.

The previous prime is 5079158779. The next prime is 5079158837. The reversal of 5079158784 is 4878519705.

5079158784 is a `hidden beast` number, since 50 + 7 + 9 + 1 + 587 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 6 and base 12.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 5079158784.

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, 725594109 + ... + 725594115.

Almost surely, 25079158784 is an apocalyptic number.

5079158784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5079158784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706050080).

5079158784 is an abundant number, since it is smaller than the sum of its proper divisors (12332941376).

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

5079158784 is an frugal number, since it uses more digits than its factorization.

5079158784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The square root of 5079158784 is about 71268.2172079532. The cubic root of 5079158784 is about 1718.9527138112.

The spelling of 5079158784 in words is "five billion, seventy-nine million, one hundred fifty-eight thousand, seven hundred eighty-four".