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55160366335344 = 243210114592599489
BaseRepresentation
bin11001000101011000001100…
…00010101000010101110000
321020022021112202211022011200
430202230012002220111300
524212221412240212334
6313152153353011200
714422130204510454
oct1442540602502560
9236267482738150
1055160366335344
111663741a84a996
12622a5470b3b00
1324a17a590941a
14d89ac13c4664
15659cab082799
hex322b060a8570

55160366335344 has 120 divisors (see below), whose sum is σ = 156007768472400. Its totient is φ = 18192256819200.

The previous prime is 55160366335309. The next prime is 55160366335363. The reversal of 55160366335344 is 44353366306155.

55160366335344 is a `hidden beast` number, since 5 + 5 + 16 + 0 + 3 + 66 + 33 + 534 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19919952 + ... + 22519440.

It is an arithmetic number, because the mean of its divisors is an integer number (1300064737270).

Almost surely, 255160366335344 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 55160366335344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78003884236200).

55160366335344 is an abundant number, since it is smaller than the sum of its proper divisors (100847402137056).

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

55160366335344 is a wasteful number, since it uses less digits than its factorization.

55160366335344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601063 (or 2601054 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 54.

The spelling of 55160366335344 in words is "fifty-five trillion, one hundred sixty billion, three hundred sixty-six million, three hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1459 1616 1818 2424 2918 3636 4377 4848 5836 7272 8754 11672 13131 14544 17508 23344 26262 35016 52524 70032 105048 147359 210096 294718 442077 589436 884154 1178872 1326231 1768308 2357744 2599489 2652462 3536616 5198978 5304924 7073232 7798467 10397956 10609848 15596934 20795912 21219696 23395401 31193868 41591824 46790802 62387736 93581604 124775472 187163208 262548389 374326416 525096778 787645167 1050193556 1575290334 2100387112 2362935501 3150580668 3792654451 4200774224 4725871002 6301161336 7585308902 9451742004 11377963353 12602322672 15170617804 18903484008 22755926706 30341235608 34133890059 37806968016 45511853412 60682471216 68267780118 91023706824 136535560236 182047413648 273071120472 383058099551 546142240944 766116199102 1149174298653 1532232398204 2298348597306 3064464796408 3447522895959 4596697194612 6128929592816 6895045791918 9193394389224 13790091583836 18386788778448 27580183167672 55160366335344