Search a number
-
+
2566500560 = 245133766697
BaseRepresentation
bin1001100011111001…
…1011000011010000
320121212022201220022
42120332123003100
520224011004220
61102401003012
7120412615631
oct23076330320
96555281808
102566500560
1110a77a4948
125b7623468
1331b9441b0
141a4c01888
151004b4925
hex98f9b0d0

2566500560 has 80 divisors (see below), whose sum is σ = 6599900496. Its totient is φ = 922005504.

The previous prime is 2566500539. The next prime is 2566500569. The reversal of 2566500560 is 650056652.

It can be written as a sum of positive squares in 8 ways, for example, as 381499024 + 2185001536 = 19532^2 + 46744^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2566500560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566500569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5132 + ... + 71828.

Almost surely, 22566500560 is an apocalyptic number.

2566500560 is a gapful number since it is divisible by the number (20) 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 2566500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299950248).

2566500560 is an abundant number, since it is smaller than the sum of its proper divisors (4033399936).

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

2566500560 is a wasteful number, since it uses less digits than its factorization.

2566500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66760 (or 66754 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 2566500560 is about 50660.6411329347. The cubic root of 2566500560 is about 1369.1376746096.

The spelling of 2566500560 in words is "two billion, five hundred sixty-six million, five hundred thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 104 130 148 185 208 260 296 370 481 520 592 740 962 1040 1480 1924 2405 2960 3848 4810 7696 9620 19240 38480 66697 133394 266788 333485 533576 666970 867061 1067152 1333940 1734122 2467789 2667880 3468244 4335305 4935578 5335760 6936488 8670610 9871156 12338945 13872976 17341220 19742312 24677890 32081257 34682440 39484624 49355780 64162514 69364880 98711560 128325028 160406285 197423120 256650056 320812570 513300112 641625140 1283250280 2566500560