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2099921436 = 223523294179
BaseRepresentation
bin111110100101010…
…0100001000011100
312102100101001200000
41331022210020130
513300034441221
6544212334300
7103016015634
oct17512441034
95370331600
102099921436
11988395068
124a7314390
13276091182
1415cc696c4
15c454de26
hex7d2a421c

2099921436 has 288 divisors, whose sum is σ = 6164121600. Its totient is φ = 622702080.

The previous prime is 2099921429. The next prime is 2099921441. The reversal of 2099921436 is 6341299902.

It is a happy number.

2099921436 is a `hidden beast` number, since 209 + 9 + 9 + 2 + 1 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2099921391 and 2099921400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26581245 + ... + 26581323.

It is an arithmetic number, because the mean of its divisors is an integer number (21403200).

Almost surely, 22099921436 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 2099921436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082060800).

2099921436 is an abundant number, since it is smaller than the sum of its proper divisors (4064200164).

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

2099921436 is a wasteful number, since it uses less digits than its factorization.

2099921436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

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

The square root of 2099921436 is about 45824.8997380245. The cubic root of 2099921436 is about 1280.5631953564.

The spelling of 2099921436 in words is "two billion, ninety-nine million, nine hundred twenty-one thousand, four hundred thirty-six".