Search a number
-
+
5456569216 = 27759233443
BaseRepresentation
bin1010001010011110…
…01010001110000000
3112002021111102210011
411011033022032000
542133340203331
62301241114304
7252135034030
oct50517121600
915067442704
105456569216
11235010023a
121083488994
1368c6186a7
1439a98d8c0
1521e0913b1
hex1453ca380

5456569216 has 128 divisors (see below), whose sum is σ = 12716870400. Its totient is φ = 2283859968.

The previous prime is 5456569213. The next prime is 5456569231. The reversal of 5456569216 is 6129656545.

It is a tau number, because it is divible by the number of its divisors (128).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 5456569216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456569213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12317091 + ... + 12317533.

It is an arithmetic number, because the mean of its divisors is an integer number (99350550).

Almost surely, 25456569216 is an apocalyptic number.

5456569216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5456569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6358435200).

5456569216 is an abundant number, since it is smaller than the sum of its proper divisors (7260301184).

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

5456569216 is a wasteful number, since it uses less digits than its factorization.

5456569216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 744 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 49.

The square root of 5456569216 is about 73868.5942468110. The cubic root of 5456569216 is about 1760.5156478079.

The spelling of 5456569216 in words is "five billion, four hundred fifty-six million, five hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 233 236 413 443 448 466 472 826 886 896 932 944 1631 1652 1772 1864 1888 3101 3262 3304 3544 3728 3776 6202 6524 6608 7088 7456 7552 12404 13048 13216 13747 14176 14912 24808 26096 26137 26432 27494 28352 29824 49616 52192 52274 52864 54988 56704 96229 99232 103219 104384 104548 109976 182959 192458 198464 206438 208768 209096 219952 365918 384916 396928 412876 418192 439904 722533 731836 769832 825752 836384 879808 1445066 1463672 1539664 1651504 1672768 1759616 2890132 2927344 3079328 3303008 3345536 5780264 5854688 6089921 6158656 6606016 11560528 11709376 12179842 12317312 13212032 23121056 23418752 24359684 42629447 46242112 48719368 85258894 92484224 97438736 170517788 194877472 341035576 389754944 682071152 779509888 1364142304 2728284608 5456569216