Search a number
-
+
5726606688 = 253411219312
BaseRepresentation
bin1010101010101010…
…10001010101100000
3112210002121202120000
411111111101111200
543212002403223
62344125020000
7261624232215
oct52525212540
915702552500
105726606688
11247957a400
1211399b4600
1370355558a
143c47a3b0c
15237b32543
hex155551560

5726606688 has 540 divisors, whose sum is σ = 20135239740. Its totient is φ = 1590969600.

The previous prime is 5726606687. The next prime is 5726606701. The reversal of 5726606688 is 8866066275.

5726606688 is a `hidden beast` number, since 5 + 7 + 26 + 606 + 6 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5726606687) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 184729233 + ... + 184729263.

It is an arithmetic number, because the mean of its divisors is an integer number (37287481).

Almost surely, 25726606688 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 5726606688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067619870).

5726606688 is an abundant number, since it is smaller than the sum of its proper divisors (14408633052).

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

5726606688 is a wasteful number, since it uses less digits than its factorization.

5726606688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 5726606688 is about 75674.3463004472. The cubic root of 5726606688 is about 1789.0910866773.

The spelling of 5726606688 in words is "five billion, seven hundred twenty-six million, six hundred six thousand, six hundred eighty-eight".