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2099793760 = 255177183131
BaseRepresentation
bin111110100101000…
…0100111101100000
312102100010120112021
41331022010331200
513300021400020
6544205511224
7103014644461
oct17512047540
95370116467
102099793760
11988308149
124a7272514
1327604801c
1415cc34d68
15c45261aa
hex7d284f60

2099793760 has 192 divisors, whose sum is σ = 5431878144. Its totient is φ = 764108800.

The previous prime is 2099793727. The next prime is 2099793781. The reversal of 2099793760 is 673979902.

It is a junction number, because it is equal to n+sod(n) for n = 2099793698 and 2099793707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16028895 + ... + 16029025.

It is an arithmetic number, because the mean of its divisors is an integer number (28291032).

Almost surely, 22099793760 is an apocalyptic number.

2099793760 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 2099793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715939072).

2099793760 is an abundant number, since it is smaller than the sum of its proper divisors (3332084384).

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

2099793760 is a wasteful number, since it uses less digits than its factorization.

2099793760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 52.

The square root of 2099793760 is about 45823.5066314223. The cubic root of 2099793760 is about 1280.5372419251.

The spelling of 2099793760 in words is "two billion, ninety-nine million, seven hundred ninety-three thousand, seven hundred sixty".