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55148100184155 = 35112659125697973
BaseRepresentation
bin11001000101000001010101…
…11010111110100001011011
321020021002212220220021000210
430202200222322332201123
524212021302121343110
6313142404254502203
714421214222112646
oct1442405272764133
9236232786807023
1055148100184155
11166321a5933a60
1262280a3204963
1324a059c5988b4
14d8927a2c4a5d
156597de28c520
hex32282aebe85b

55148100184155 has 32 divisors (see below), whose sum is σ = 96294703921920. Its totient is φ = 26728416766080.

The previous prime is 55148100184081. The next prime is 55148100184157.

55148100184155 is nontrivially palindromic in base 10.

55148100184155 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55148100184155 - 217 = 55148100053083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55148100184157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62410252 + ... + 63287721.

It is an arithmetic number, because the mean of its divisors is an integer number (3009209497560).

Almost surely, 255148100184155 is an apocalyptic number.

55148100184155 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55148100184155 is a deficient number, since it is larger than the sum of its proper divisors (41146603737765).

55148100184155 is a wasteful number, since it uses less digits than its factorization.

55148100184155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125700651.

The product of its (nonzero) digits is 640000, while the sum is 48.

The spelling of 55148100184155 in words is "fifty-five trillion, one hundred forty-eight billion, one hundred million, one hundred eighty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 165 2659 7977 13295 29249 39885 87747 146245 438735 125697973 377093919 628489865 1382677703 1885469595 4148033109 6913388515 20740165545 334230910207 1002692730621 1671154551035 3676540012277 5013463653105 11029620036831 18382700061385 55148100184155