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55105414344 = 2333255117659
BaseRepresentation
bin110011010100100010…
…011110010011001000
312021020101120002111000
4303110202132103020
51400323441224334
641152020135000
73660364202451
oct632442362310
9167211502430
1055105414344
112140862a452
12a81a837460
1352726b9666
14294a7d2128
151677bc0299
hexcd489e4c8

55105414344 has 32 divisors (see below), whose sum is σ = 153070596000. Its totient is φ = 18368471376.

The previous prime is 55105414339. The next prime is 55105414349. The reversal of 55105414344 is 44341450155.

55105414344 is a `hidden beast` number, since 551 + 0 + 54 + 14 + 3 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (55105414339) and next prime (55105414349).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55105414299 and 55105414308.

It is not an unprimeable number, because it can be changed into a prime (55105414349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127558614 + ... + 127559045.

It is an arithmetic number, because the mean of its divisors is an integer number (4783456125).

Almost surely, 255105414344 is an apocalyptic number.

55105414344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55105414344 is an abundant number, since it is smaller than the sum of its proper divisors (97965181656).

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

55105414344 is a wasteful number, since it uses less digits than its factorization.

55105414344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255117674 (or 255117664 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 55105414344 its reverse (44341450155), we get a palindrome (99446864499).

The spelling of 55105414344 in words is "fifty-five billion, one hundred five million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 255117659 510235318 765352977 1020470636 1530705954 2040941272 2296058931 3061411908 4592117862 6122823816 6888176793 9184235724 13776353586 18368471448 27552707172 55105414344