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2104754688 = 2932736257
BaseRepresentation
bin111110101110100…
…0000001000000000
312102200110121122100
41331131000020000
513302304122223
6544504110400
7103105056021
oct17535001000
95380417570
102104754688
11990096393
124a8a65400
1327709409a
1415d766c48
15c4ba6043
hex7d740200

2104754688 has 120 divisors (see below), whose sum is σ = 6158660508. Its totient is φ = 691863552.

The previous prime is 2104754651. The next prime is 2104754689. The reversal of 2104754688 is 8864574012.

2104754688 is a `hidden beast` number, since 21 + 0 + 4 + 7 + 546 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1820899584 + 283855104 = 42672^2 + 16848^2 .

It is not an unprimeable number, because it can be changed into a prime (2104754689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333256 + ... + 339512.

Almost surely, 22104754688 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 2104754688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079330254).

2104754688 is an abundant number, since it is smaller than the sum of its proper divisors (4053905820).

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

2104754688 is an equidigital number, since it uses as much as digits as its factorization.

2104754688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6354 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2104754688 is about 45877.6055172892. The cubic root of 2104754688 is about 1281.5449054481.

The spelling of 2104754688 in words is "two billion, one hundred four million, seven hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1152 1168 1314 1536 1752 2304 2336 2628 3504 4608 4672 5256 6257 7008 9344 10512 12514 14016 18688 18771 21024 25028 28032 37376 37542 42048 50056 56064 56313 75084 84096 100112 112128 112626 150168 168192 200224 225252 300336 336384 400448 450504 456761 600672 800896 901008 913522 1201344 1370283 1601792 1802016 1827044 2402688 2740566 3203584 3604032 3654088 4110849 4805376 5481132 7208064 7308176 8221698 9610752 10962264 14416128 14616352 16443396 21924528 28832256 29232704 32886792 43849056 58465408 65773584 87698112 116930816 131547168 175396224 233861632 263094336 350792448 526188672 701584896 1052377344 2104754688