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2099073024 = 2123256941
BaseRepresentation
bin111110100011101…
…0101000000000000
312102021202221212100
41331013111000000
513244330314044
6544142230400
7103005553266
oct17507250000
95367687770
102099073024
119879656a4
124a6b85400
13275b54c59
1415cac8436
15c4432869
hex7d1d5000

2099073024 has 78 divisors (see below), whose sum is σ = 6063354986. Its totient is φ = 699678720.

The previous prime is 2099072999. The next prime is 2099073061. The reversal of 2099073024 is 4203709902.

It can be written as a sum of positive squares in only one way, i.e., 1800474624 + 298598400 = 42432^2 + 17280^2 .

It is a super-2 number, since 2×20990730242 = 8812215120169009152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2099073024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8394 + ... + 65334.

Almost surely, 22099073024 is an apocalyptic number.

2099073024 is a gapful number since it is divisible by the number (24) 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 2099073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031677493).

2099073024 is an abundant number, since it is smaller than the sum of its proper divisors (3964281962).

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

2099073024 is an equidigital number, since it uses as much as digits as its factorization.

2099073024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56971 (or 56946 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2099073024 is about 45815.6416958226. The cubic root of 2099073024 is about 1280.3907140575.

The spelling of 2099073024 in words is "two billion, ninety-nine million, seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 56941 113882 170823 227764 341646 455528 512469 683292 911056 1024938 1366584 1822112 2049876 2733168 3644224 4099752 5466336 7288448 8199504 10932672 14576896 16399008 21865344 29153792 32798016 43730688 58307584 65596032 87461376 116615168 131192064 174922752 233230336 262384128 349845504 524768256 699691008 1049536512 2099073024