Search a number
-
+
5726972160 = 28345713607
BaseRepresentation
bin1010101010101101…
…01010100100000000
3112210010022022220000
411111112222210000
543212101102120
62344140520000
7261630313560
oct52526524400
915703268800
105726972160
1124797a9a48
121139b50000
13703652a30
143c485ada0
15237ba5990
hex1555aa900

5726972160 has 720 divisors, whose sum is σ = 25262662656. Its totient is φ = 1206337536.

The previous prime is 5726972159. The next prime is 5726972197. The reversal of 5726972160 is 612796275.

5726972160 is a `hidden beast` number, since 572 + 6 + 9 + 72 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434577 + ... + 9435183.

Almost surely, 25726972160 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 5726972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631331328).

5726972160 is an abundant number, since it is smaller than the sum of its proper divisors (19535690496).

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

5726972160 is a wasteful number, since it uses less digits than its factorization.

5726972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5726972160 is about 75676.7610300547. The cubic root of 5726972160 is about 1789.1291457947.

The spelling of 5726972160 in words is "five billion, seven hundred twenty-six million, nine hundred seventy-two thousand, one hundred sixty".