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54105643053 = 32721111153503
BaseRepresentation
bin110010011000111100…
…101001100000101101
312011122201022110002200
4302120330221200231
51341302021034203
640504503412113
73623534243400
oct623074514055
9164581273080
1054105643053
1120a45252490
12a59ba54039
13514352c607
142893b03d37
15161a0369a3
hexc98f2982d

54105643053 has 36 divisors (see below), whose sum is σ = 99176957568. Its totient is φ = 28106825040.

The previous prime is 54105643043. The next prime is 54105643057. The reversal of 54105643053 is 35034650145.

54105643053 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 5 + 643 + 0 + 5 + 3 = 666.

It is not a de Polignac number, because 54105643053 - 210 = 54105642029 is a prime.

It is a super-2 number, since 2×541056430532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54105642999 and 54105643017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54105643057) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5571901 + ... + 5581602.

It is an arithmetic number, because the mean of its divisors is an integer number (2754915488).

Almost surely, 254105643053 is an apocalyptic number.

It is an amenable number.

54105643053 is a deficient number, since it is larger than the sum of its proper divisors (45071314515).

54105643053 is a wasteful number, since it uses less digits than its factorization.

54105643053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153534 (or 11153524 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 54105643053 in words is "fifty-four billion, one hundred five million, six hundred forty-three thousand, fifty-three".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 11153503 33460509 78074521 100381527 122688533 234223563 368065599 546521647 702670689 858819731 1104196797 1639564941 2576459193 4918694823 6011738117 7729377579 18035214351 54105643053