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2444640066 = 2321142129327
BaseRepresentation
bin1001000110110110…
…0011111101000010
320022101000120201200
42101231203331002
520001311440231
61042325042030
7114403045341
oct22155437502
96271016650
102444640066
111044a322a0
12582856316
132cc6184ab
1419295db58
15e4942be6
hex91b63f42

2444640066 has 48 divisors (see below), whose sum is σ = 5792162688. Its totient is φ = 739015200.

The previous prime is 2444640049. The next prime is 2444640071. The reversal of 2444640066 is 6600464442.

It is a happy number.

2444640066 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 640 + 0 + 6 + 6 = 666.

2444640066 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2444640066.

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, 68695 + ... + 98021.

It is an arithmetic number, because the mean of its divisors is an integer number (120670056).

Almost surely, 22444640066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444640066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896081344).

2444640066 is an abundant number, since it is smaller than the sum of its proper divisors (3347522622).

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

2444640066 is a wasteful number, since it uses less digits than its factorization.

2444640066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29767 (or 29764 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2444640066 is about 49443.3015281140. The cubic root of 2444640066 is about 1347.1159401728.

The spelling of 2444640066 in words is "two billion, four hundred forty-four million, six hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 421 842 1263 2526 3789 4631 7578 9262 13893 27786 29327 41679 58654 83358 87981 175962 263943 322597 527886 645194 967791 1935582 2903373 5806746 12346667 24693334 37040001 74080002 111120003 135813337 222240006 271626674 407440011 814880022 1222320033 2444640066