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2099952920 = 235136076653
BaseRepresentation
bin111110100101010…
…1011110100011000
312102100102122212002
41331022223310120
513300041443140
6544213140132
7103016206502
oct17512536430
95370378762
102099952920
1198840678a
124a732a648
132760a25c0
1415cc76d72
15c4558415
hex7d2abd18

2099952920 has 64 divisors (see below), whose sum is σ = 5097496320. Its totient is φ = 773973504.

The previous prime is 2099952919. The next prime is 2099952929. The reversal of 2099952920 is 292599902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099952929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312314 + ... + 318966.

It is an arithmetic number, because the mean of its divisors is an integer number (79648380).

Almost surely, 22099952920 is an apocalyptic number.

2099952920 is a gapful number since it is divisible by the number (20) 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 2099952920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548748160).

2099952920 is an abundant number, since it is smaller than the sum of its proper divisors (2997543400).

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

2099952920 is a wasteful number, since it uses less digits than its factorization.

2099952920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7280 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 47.

The square root of 2099952920 is about 45825.2432617657. The cubic root of 2099952920 is about 1280.5695951276.

The spelling of 2099952920 in words is "two billion, ninety-nine million, nine hundred fifty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 607 1214 2428 3035 4856 6070 6653 7891 12140 13306 15782 24280 26612 31564 33265 39455 53224 63128 66530 78910 86489 133060 157820 172978 266120 315640 345956 432445 691912 864890 1729780 3459560 4038371 8076742 16153484 20191855 32306968 40383710 52498823 80767420 104997646 161534840 209995292 262494115 419990584 524988230 1049976460 2099952920