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2099218968 = 2332711794793
BaseRepresentation
bin111110100011111…
…1000101000011000
312102022001101001200
41331013320220120
513244400001333
6544145314200
7103010031630
oct17507705030
95368041050
102099218968
11987a55310
124a7035960
13275ba6502
1415cb256c0
15c4460c13
hex7d1f8a18

2099218968 has 192 divisors, whose sum is σ = 7179494400. Its totient is φ = 538237440.

The previous prime is 2099218963. The next prime is 2099218981. The reversal of 2099218968 is 8698129902.

2099218968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20992189682 = 8813440551221970048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099218963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435580 + ... + 440372.

It is an arithmetic number, because the mean of its divisors is an integer number (37393200).

Almost surely, 22099218968 is an apocalyptic number.

2099218968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2099218968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589747200).

2099218968 is an abundant number, since it is smaller than the sum of its proper divisors (5080275432).

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

2099218968 is a wasteful number, since it uses less digits than its factorization.

2099218968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4902 (or 4895 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 2099218968 is about 45817.2343992956. The cubic root of 2099218968 is about 1280.4203876340.

The spelling of 2099218968 in words is "two billion, ninety-nine million, two hundred eighteen thousand, nine hundred sixty-eight".