Search a number
-
+
5275719716256 = 25341131431271093
BaseRepresentation
bin100110011000101100101…
…1001100100110110100000
3200200100112222101221110000
41030301121121210312200
51142414133221410011
615115344314540000
71053105152452323
oct114613131446640
920610488357400
105275719716256
111754469273260
12712577a37600
132c366280cc72
141434bbd6c7ba
15923784c7356
hex4cc59664da0

5275719716256 has 960 divisors, whose sum is σ = 18035870662656. Its totient is φ = 1497881548800.

The previous prime is 5275719716191. The next prime is 5275719716257. The reversal of 5275719716256 is 6526179175725.

5275719716256 is a `hidden beast` number, since 5 + 2 + 7 + 571 + 9 + 7 + 1 + 6 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5275719716193 and 5275719716202.

It is not an unprimeable number, because it can be changed into a prime (5275719716257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4826824446 + ... + 4826825538.

Almost surely, 25275719716256 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 5275719716256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9017935331328).

5275719716256 is an abundant number, since it is smaller than the sum of its proper divisors (12760150946400).

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

5275719716256 is a wasteful number, since it uses less digits than its factorization.

5275719716256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1310 counting only the distinct ones).

The product of its digits is 55566000, while the sum is 63.

The spelling of 5275719716256 in words is "five trillion, two hundred seventy-five billion, seven hundred nineteen million, seven hundred sixteen thousand, two hundred fifty-six".