Search a number
-
+
5116531079520 = 2532571013350093
BaseRepresentation
bin100101001110100100100…
…0001000111100101100000
3200010010122211220022121100
41022131021001013211200
51132312123424021040
614514300225554400
71035441260410560
oct112351101074540
920103584808540
105116531079520
1116a29aa452353
126a774baa5a00
132b16436a4463
141398da100da0
158d15cda8b30
hex4a749047960

5116531079520 has 288 divisors, whose sum is σ = 19956838853952. Its totient is φ = 1169354059776.

The previous prime is 5116531079509. The next prime is 5116531079533. The reversal of 5116531079520 is 259701356115.

5116531079520 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 53 + 1 + 0 + 79 + 520 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102115594 + ... + 102165686.

It is an arithmetic number, because the mean of its divisors is an integer number (69294579354).

Almost surely, 25116531079520 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 5116531079520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978419426976).

5116531079520 is an abundant number, since it is smaller than the sum of its proper divisors (14840307774432).

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

5116531079520 is a wasteful number, since it uses less digits than its factorization.

5116531079520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60254 (or 60243 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 5116531079520 in words is "five trillion, one hundred sixteen billion, five hundred thirty-one million, seventy-nine thousand, five hundred twenty".