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54123045345 = 345891501541
BaseRepresentation
bin110010011001111111…
…000010000111100001
312011200221001120120000
4302121333002013201
51341320444422340
640510324410213
73624135203055
oct623177020741
9164627046500
1054123045345
1120a54059046
12a5a5846969
135147013525
142896153c65
15161b822d30
hexc99fc21e1

54123045345 has 40 divisors (see below), whose sum is σ = 98110754280. Its totient is φ = 28541272320.

The previous prime is 54123045331. The next prime is 54123045371. The reversal of 54123045345 is 54354032145.

54123045345 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 304 + 5 + 345 = 666.

54123045345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9585216 + 54113460129 = 3096^2 + 232623^2 .

It is not a de Polignac number, because 54123045345 - 25 = 54123045313 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 714726 + ... + 786815.

It is an arithmetic number, because the mean of its divisors is an integer number (2452768857).

Almost surely, 254123045345 is an apocalyptic number.

It is an amenable number.

54123045345 is a deficient number, since it is larger than the sum of its proper divisors (43987708935).

54123045345 is a wasteful number, since it uses less digits than its factorization.

54123045345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501647 (or 1501638 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 54123045345 in words is "fifty-four billion, one hundred twenty-three million, forty-five thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 89 135 267 405 445 801 1335 2403 4005 7209 12015 36045 1501541 4504623 7507705 13513869 22523115 40541607 67569345 121624821 133637149 202708035 400911447 608124105 668185745 1202734341 2004557235 3608203023 6013671705 10824609069 18041015115 54123045345