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5656288144 = 2413171984191
BaseRepresentation
bin1010100010010010…
…00001101110010000
3112121012022012122111
411101021001232100
543041002210034
62333133515104
7260111440663
oct52111015620
915535265574
105656288144
112442911001
12111a342a94
136c1b04a80
143b92db6da
15231892364
hex151241b90

5656288144 has 80 divisors (see below), whose sum is σ = 13154158080. Its totient is φ = 2327685120.

The previous prime is 5656288139. The next prime is 5656288177. The reversal of 5656288144 is 4418826565.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25089 + ... + 109279.

It is an arithmetic number, because the mean of its divisors is an integer number (164426976).

Almost surely, 25656288144 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 5656288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577079040).

5656288144 is an abundant number, since it is smaller than the sum of its proper divisors (7497869936).

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

5656288144 is a wasteful number, since it uses less digits than its factorization.

5656288144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84248 (or 84242 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 49.

The square root of 5656288144 is about 75208.2983719217. The cubic root of 5656288144 is about 1781.7379969457.

The spelling of 5656288144 in words is "five billion, six hundred fifty-six million, two hundred eighty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 208 221 247 272 304 323 442 494 646 884 988 1292 1768 1976 2584 3536 3952 4199 5168 8398 16796 33592 67184 84191 168382 336764 673528 1094483 1347056 1431247 1599629 2188966 2862494 3199258 4377932 5724988 6398516 8755864 11449976 12797032 17511728 18606211 20795177 22899952 25594064 27193693 37212422 41590354 54387386 74424844 83180708 108774772 148849688 166361416 217549544 297699376 332722832 353518009 435099088 707036018 1414072036 2828144072 5656288144