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2366996112 = 2432135323857
BaseRepresentation
bin1000110100010101…
…0111111010010000
320002221220212020200
42031011113322100
514321422333422
61030512535200
7112441064205
oct21505277220
96087825220
102366996112
111005120238
12560851500
132b9501620
1418650bcac
15dcc072ac
hex8d157e90

2366996112 has 120 divisors (see below), whose sum is σ = 7268769144. Its totient is φ = 714534912.

The previous prime is 2366996077. The next prime is 2366996129. The reversal of 2366996112 is 2116996632.

2366996112 is a `hidden beast` number, since 23 + 6 + 6 + 9 + 9 + 611 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 2364293376 = 1644^2 + 48624^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87288 + ... + 111144.

Almost surely, 22366996112 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 2366996112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634384572).

2366996112 is an abundant number, since it is smaller than the sum of its proper divisors (4901773032).

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

2366996112 is a wasteful number, since it uses less digits than its factorization.

2366996112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23937 (or 23928 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 2366996112 is about 48651.7842632724. The cubic root of 2366996112 is about 1332.7003594445.

The spelling of 2366996112 in words is "two billion, three hundred sixty-six million, nine hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 53 72 78 104 106 117 144 156 159 208 212 234 312 318 424 468 477 624 636 689 848 936 954 1272 1378 1872 1908 2067 2544 2756 3816 4134 5512 6201 7632 8268 11024 12402 16536 23857 24804 33072 47714 49608 71571 95428 99216 143142 190856 214713 286284 310141 381712 429426 572568 620282 858852 930423 1145136 1240564 1264421 1717704 1860846 2481128 2528842 2791269 3435408 3721692 3793263 4962256 5057684 5582538 7443384 7586526 10115368 11165076 11379789 14886768 15173052 16437473 20230736 22330152 22759578 30346104 32874946 44660304 45519156 49312419 60692208 65749892 91038312 98624838 131499784 147937257 182076624 197249676 262999568 295874514 394499352 591749028 788998704 1183498056 2366996112