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2164192048 = 24296836829
BaseRepresentation
bin1000000011111110…
…1111001100110000
312120211022100101001
42000333233030300
513413013121143
6554430051344
7104426220544
oct20077571460
95524270331
102164192048
11a106a2577
12504949b54
132864a4c15
141675d9a24
15c9ee714d
hex80fef330

2164192048 has 40 divisors (see below), whose sum is σ = 4344699600. Its totient is φ = 1043099904.

The previous prime is 2164192003. The next prime is 2164192067. The reversal of 2164192048 is 8402914612.

2164192048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2164191998 and 2164192016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313498 + ... + 320326.

It is an arithmetic number, because the mean of its divisors is an integer number (108617490).

Almost surely, 22164192048 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 2164192048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172349800).

2164192048 is an abundant number, since it is smaller than the sum of its proper divisors (2180507552).

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

2164192048 is a wasteful number, since it uses less digits than its factorization.

2164192048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7549 (or 7543 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 2164192048 is about 46520.8775497625. The cubic root of 2164192048 is about 1293.4965230249.

The spelling of 2164192048 in words is "two billion, one hundred sixty-four million, one hundred ninety-two thousand, forty-eight".

Divisors: 1 2 4 8 16 29 58 116 232 464 683 1366 2732 5464 6829 10928 13658 19807 27316 39614 54632 79228 109264 158456 198041 316912 396082 792164 1584328 3168656 4664207 9328414 18656828 37313656 74627312 135262003 270524006 541048012 1082096024 2164192048