Search a number
-
+
5268086208 = 2633711172137
BaseRepresentation
bin1001110100000000…
…01001110111000000
3111121010211111201000
410322000021313000
541242112224313
62230425212000
7244355664630
oct47200116700
914533744630
105268086208
112263774160
121030331000
1365c564598
1437d9286c0
1520c75e673
hex13a009dc0

5268086208 has 672 divisors, whose sum is σ = 20661050880. Its totient is φ = 1278443520.

The previous prime is 5268086207. The next prime is 5268086261. The reversal of 5268086208 is 8026808625.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×52680862083 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5268086207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38453116 + ... + 38453252.

Almost surely, 25268086208 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 5268086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10330525440).

5268086208 is an abundant number, since it is smaller than the sum of its proper divisors (15392964672).

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

5268086208 is a wasteful number, since it uses less digits than its factorization.

5268086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5268086208 is about 72581.5831185846. The cubic root of 5268086208 is about 1740.0068489623.

The spelling of 5268086208 in words is "five billion, two hundred sixty-eight million, eighty-six thousand, two hundred eight".