Search a number
-
+
2099711296 = 2679601691
BaseRepresentation
bin111110100100111…
…0000110101000000
312102022222101102001
41331021300311000
513300011230141
6544204033344
7103014152164
oct17511606500
95368871361
102099711296
119882611a1
124a7232854
13276019627
1415cc12ca4
15c450ba31
hex7d270d40

2099711296 has 56 divisors (see below), whose sum is σ = 4232493440. Its totient is φ = 1033344000.

The previous prime is 2099711291. The next prime is 2099711303. The reversal of 2099711296 is 6921179902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099711291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3038311 + ... + 3039001.

It is an arithmetic number, because the mean of its divisors is an integer number (75580240).

Almost surely, 22099711296 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 2099711296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116246720).

2099711296 is an abundant number, since it is smaller than the sum of its proper divisors (2132782144).

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

2099711296 is an equidigital number, since it uses as much as digits as its factorization.

2099711296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 46.

The square root of 2099711296 is about 45822.6068223972. The cubic root of 2099711296 is about 1280.5204784366.

The spelling of 2099711296 in words is "two billion, ninety-nine million, seven hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 79 158 316 601 632 691 1202 1264 1382 2404 2528 2764 4808 5056 5528 9616 11056 19232 22112 38464 44224 47479 54589 94958 109178 189916 218356 379832 415291 436712 759664 830582 873424 1519328 1661164 1746848 3038656 3322328 3493696 6644656 13289312 26578624 32807989 65615978 131231956 262463912 524927824 1049855648 2099711296