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2113766568 = 2332195926189
BaseRepresentation
bin111110111111101…
…1000010010101000
312110022102110121200
41331333120102220
513312111012233
6545425204200
7103244501514
oct17577302250
95408373550
102113766568
11995191121
124aba90660
13278bcac64
14160a31144
15c5886313
hex7dfd84a8

2113766568 has 96 divisors (see below), whose sum is σ = 6128460000. Its totient is φ = 656166528.

The previous prime is 2113766563. The next prime is 2113766593. The reversal of 2113766568 is 8656673112.

2113766568 is a `hidden beast` number, since 2 + 1 + 13 + 76 + 6 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (2113766563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67618 + ... + 93806.

It is an arithmetic number, because the mean of its divisors is an integer number (63838125).

Almost surely, 22113766568 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 2113766568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064230000).

2113766568 is an abundant number, since it is smaller than the sum of its proper divisors (4014693432).

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

2113766568 is a wasteful number, since it uses less digits than its factorization.

2113766568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26279 (or 26272 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2113766568 is about 45975.7171559074. The cubic root of 2113766568 is about 1283.3713550025.

The spelling of 2113766568 in words is "two billion, one hundred thirteen million, seven hundred sixty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 59 72 76 114 118 152 171 177 228 236 342 354 456 472 531 684 708 1062 1121 1368 1416 2124 2242 3363 4248 4484 6726 8968 10089 13452 20178 26189 26904 40356 52378 78567 80712 104756 157134 209512 235701 314268 471402 497591 628536 942804 995182 1492773 1545151 1885608 1990364 2985546 3090302 3980728 4478319 4635453 5971092 6180604 8956638 9270906 11942184 12361208 13906359 17913276 18541812 27812718 29357869 35826552 37083624 55625436 58715738 88073607 111250872 117431476 176147214 234862952 264220821 352294428 528441642 704588856 1056883284 2113766568