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54665113623327 = 3419312111380933
BaseRepresentation
bin11000110110111101101101…
…01011011101101100011111
321011112221012202110210210000
430123132312223131230133
524131113123041421302
6312132450112345343
714341265322066624
oct1433366653355437
9234487182423700
1054665113623327
1116466387584199
12616a56bb45253
132466b8a1682bc
14d6db3c87c34b
1564be720d831c
hex31b7b6addb1f

54665113623327 has 40 divisors (see below), whose sum is σ = 85985687794160. Its totient is φ = 34514269620480.

The previous prime is 54665113623311. The next prime is 54665113623377. The reversal of 54665113623327 is 72332631156645.

54665113623327 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 5 + 1 + 1 + 3 + 623 + 3 + 2 + 7 = 666.

It is not a de Polignac number, because 54665113623327 - 24 = 54665113623311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54665113623377) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 887248 + ... + 10493685.

It is an arithmetic number, because the mean of its divisors is an integer number (2149642194854).

Almost surely, 254665113623327 is an apocalyptic number.

54665113623327 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

54665113623327 is a deficient number, since it is larger than the sum of its proper divisors (31320574170833).

54665113623327 is a wasteful number, since it uses less digits than its factorization.

54665113623327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11384085 (or 11384076 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 54665113623327 in words is "fifty-four trillion, six hundred sixty-five billion, one hundred thirteen million, six hundred twenty-three thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 3121 9363 28089 59299 84267 177897 252801 533691 1601073 4803219 11380933 34142799 102428397 216237727 307285191 648713181 921855573 1946139543 5838418629 17515255887 35519891893 106559675679 319679027037 674877945967 959037081111 2024633837901 2877111243333 6073901513703 18221704541109 54665113623327