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2733085872 = 2432112776229
BaseRepresentation
bin1010001011100111…
…1001010010110000
321001110210010222200
42202321321102300
521044132221442
61131111303200
7124504563246
oct24271712260
97043703880
102733085872
111182834960
1264337ab00
133472cc19a
141bcda6796
1510ee1d34c
hexa2e794b0

2733085872 has 120 divisors (see below), whose sum is σ = 8375661840. Its totient is φ = 825085440.

The previous prime is 2733085853. The next prime is 2733085877. The reversal of 2733085872 is 2785803372.

2733085872 is a `hidden beast` number, since 273 + 308 + 5 + 8 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (2733085877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435654 + ... + 441882.

It is an arithmetic number, because the mean of its divisors is an integer number (69797182).

Almost surely, 22733085872 is an apocalyptic number.

2733085872 is a gapful number since it is divisible by the number (22) 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 2733085872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187830920).

2733085872 is an abundant number, since it is smaller than the sum of its proper divisors (5642575968).

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

2733085872 is a wasteful number, since it uses less digits than its factorization.

2733085872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6522 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2733085872 is about 52278.9237838730. The cubic root of 2733085872 is about 1398.1413894219.

The spelling of 2733085872 in words is "two billion, seven hundred thirty-three million, eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 277 396 528 554 792 831 1108 1584 1662 2216 2493 3047 3324 4432 4986 6094 6229 6648 9141 9972 12188 12458 13296 18282 18687 19944 24376 24916 27423 36564 37374 39888 48752 49832 54846 56061 68519 73128 74748 99664 109692 112122 137038 146256 149496 205557 219384 224244 274076 298992 411114 438768 448488 548152 616671 822228 896976 1096304 1233342 1644456 1725433 2466684 3288912 3450866 4933368 5176299 6901732 9866736 10352598 13803464 15528897 18979763 20705196 27606928 31057794 37959526 41410392 56939289 62115588 75919052 82820784 113878578 124231176 151838104 170817867 227757156 248462352 303676208 341635734 455514312 683271468 911028624 1366542936 2733085872