Search a number
-
+
2086606144 = 267192979107
BaseRepresentation
bin111110001011111…
…0001010101000000
312101102022120112001
41330113301111000
513233132344034
6543015113344
7102464600560
oct17427612500
95342276461
102086606144
11980920097
124a2972854
132733ab5bc
1415b1a0da0
15c32bda14
hex7c5f1540

2086606144 has 224 divisors, whose sum is σ = 5266944000. Its totient is φ = 800077824.

The previous prime is 2086606127. The next prime is 2086606177. The reversal of 2086606144 is 4416066802.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19500939 + ... + 19501045.

Almost surely, 22086606144 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 2086606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633472000).

2086606144 is an abundant number, since it is smaller than the sum of its proper divisors (3180337856).

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

2086606144 is a wasteful number, since it uses less digits than its factorization.

2086606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 2086606144 is about 45679.3842340284. The cubic root of 2086606144 is about 1277.8508335955.

The spelling of 2086606144 in words is "two billion, eighty-six million, six hundred six thousand, one hundred forty-four".