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2580013056 = 2133611721
BaseRepresentation
bin1001100111000111…
…1110000000000000
320122210202020120010
42121301332000000
520240440404211
61104002344520
7120635514645
oct23161760000
96583666503
102580013056
111104393aa5
1260005b140
1332169575a
141a691bdcc
151017834a6
hex99c7e000

2580013056 has 112 divisors (see below), whose sum is σ = 6996458448. Its totient is φ = 845414400.

The previous prime is 2580013049. The next prime is 2580013057. The reversal of 2580013056 is 6503100852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580013057) 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, 1498276 + ... + 1499996.

It is an arithmetic number, because the mean of its divisors is an integer number (62468379).

Almost surely, 22580013056 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 2580013056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498229224).

2580013056 is an abundant number, since it is smaller than the sum of its proper divisors (4416445392).

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

2580013056 is an equidigital number, since it uses as much as digits as its factorization.

2580013056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2580013056 is about 50793.8289165131. The cubic root of 2580013056 is about 1371.5362836035.

The spelling of 2580013056 in words is "two billion, five hundred eighty million, thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1721 1952 2048 2928 3072 3442 3904 4096 5163 5856 6144 6884 7808 8192 10326 11712 12288 13768 15616 20652 23424 24576 27536 31232 41304 46848 55072 62464 82608 93696 104981 110144 124928 165216 187392 209962 220288 249856 314943 330432 374784 419924 440576 499712 629886 660864 749568 839848 881152 1259772 1321728 1499136 1679696 1762304 2519544 2643456 3359392 3524608 5039088 5286912 6718784 7049216 10078176 10573824 13437568 14098432 20156352 21147648 26875136 40312704 42295296 53750272 80625408 107500544 161250816 215001088 322501632 430002176 645003264 860004352 1290006528 2580013056