Search a number
-
+
2556660512 = 25740128463
BaseRepresentation
bin1001100001100011…
…1000101100100000
320121011210210220002
42120120320230200
520214001114022
61101410035132
7120233153510
oct23030705440
96534723802
102556660512
1110a219397a
125b4278aa8
133198aa393
141a379d840
15ee6be092
hex98638b20

2556660512 has 48 divisors (see below), whose sum is σ = 5767034112. Its totient is φ = 1092940800.

The previous prime is 2556660497. The next prime is 2556660517. The reversal of 2556660512 is 2150666552.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2556660517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75593 + ... + 104055.

It is an arithmetic number, because the mean of its divisors is an integer number (120146544).

Almost surely, 22556660512 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 2556660512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883517056).

2556660512 is an abundant number, since it is smaller than the sum of its proper divisors (3210373600).

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

2556660512 is a wasteful number, since it uses less digits than its factorization.

2556660512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28881 (or 28873 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The square root of 2556660512 is about 50563.4305798173. The cubic root of 2556660512 is about 1367.3856605681.

The spelling of 2556660512 in words is "two billion, five hundred fifty-six million, six hundred sixty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 401 802 1604 2807 3208 5614 6416 11228 12832 22456 28463 44912 56926 89824 113852 199241 227704 398482 455408 796964 910816 1593928 3187856 6375712 11413663 22827326 45654652 79895641 91309304 159791282 182618608 319582564 365237216 639165128 1278330256 2556660512