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2720538180096 = 293111491080649
BaseRepresentation
bin100111100101101100101…
…101100011101000000000
3100122002011222112220020220
4213211230231203220000
5324033130233230341
65441444210503040
7400360320660462
oct47455455435000
910562158486226
102720538180096
11959856973140
1237b312894a80
13169712a3b3a9
1495963730132
154ab7a1aba66
hex2796cb63a00

2720538180096 has 160 divisors (see below), whose sum is σ = 7959635640000. Its totient is φ = 818871828480.

The previous prime is 2720538180083. The next prime is 2720538180161. The reversal of 2720538180096 is 6900818350272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977180 + ... + 3057828.

It is an arithmetic number, because the mean of its divisors is an integer number (49747722750).

Almost surely, 22720538180096 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 2720538180096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979817820000).

2720538180096 is an abundant number, since it is smaller than the sum of its proper divisors (5239097459904).

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

2720538180096 is a wasteful number, since it uses less digits than its factorization.

2720538180096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080830 (or 1080814 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 2720538180096 in words is "two trillion, seven hundred twenty billion, five hundred thirty-eight million, one hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 149 176 192 256 264 298 352 384 447 512 528 596 704 768 894 1056 1192 1408 1536 1639 1788 2112 2384 2816 3278 3576 4224 4768 4917 5632 6556 7152 8448 9536 9834 13112 14304 16896 19072 19668 26224 28608 38144 39336 52448 57216 76288 78672 104896 114432 157344 209792 228864 314688 419584 629376 839168 1080649 1258752 2161298 2517504 3241947 4322596 6483894 8645192 11887139 12967788 17290384 23774278 25935576 34580768 35661417 47548556 51871152 69161536 71322834 95097112 103742304 138323072 142645668 161016701 190194224 207484608 276646144 285291336 322033402 380388448 414969216 483050103 553292288 570582672 644066804 760776896 829938432 966100206 1141165344 1288133608 1521553792 1659876864 1771183711 1932200412 2282330688 2576267216 3043107584 3542367422 3864400824 4564661376 5152534432 5313551133 6086215168 7084734844 7728801648 9129322752 10305068864 10627102266 14169469688 15457603296 18258645504 20610137728 21254204532 28338939376 30915206592 41220275456 42508409064 56677878752 61830413184 82440550912 85016818128 113355757504 123660826368 170033636256 226711515008 247321652736 340067272512 453423030016 680134545024 906846060032 1360269090048 2720538180096