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54161560341 = 32719109571727
BaseRepresentation
bin110010011100010001…
…111101001100010101
312011210121112100012100
4302130101331030111
51341410324412331
640514222112313
73625113444510
oct623421751425
9164717470170
1054161560341
1120a73874a19
12a5b671b699
135151caa175
14289b2dbd77
15161edceae6
hexc9c47d315

54161560341 has 96 divisors (see below), whose sum is σ = 95275980800. Its totient is φ = 28960778880.

The previous prime is 54161560339. The next prime is 54161560351. The reversal of 54161560341 is 14306516145.

54161560341 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 1 + 5 + 603 + 41 = 666.

54161560341 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 54161560341 - 21 = 54161560339 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54161560296 and 54161560305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54161560301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74499720 + ... + 74500446.

Almost surely, 254161560341 is an apocalyptic number.

It is an amenable number.

54161560341 is a deficient number, since it is larger than the sum of its proper divisors (41114420459).

54161560341 is a wasteful number, since it uses less digits than its factorization.

54161560341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 54161560341 in words is "fifty-four billion, one hundred sixty-one million, five hundred sixty thousand, three hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 109 133 171 327 399 571 727 763 981 1197 1713 2071 2181 2289 3997 5089 5139 6213 6543 6867 10849 11991 13813 14497 15267 18639 32547 35973 41439 43491 45801 62239 75943 79243 96691 97641 124317 130473 186717 227829 237729 290073 415117 435673 554701 560151 683487 713187 870219 1182541 1245351 1307019 1505617 1664103 2905819 3547623 3736053 3921057 4516851 4992309 7887223 8277787 8717457 10539319 10642869 13550553 23661669 24833361 26152371 31617957 45247753 55210561 70985007 74500083 94853871 135743259 165631683 316734271 407229777 496895049 859707307 950202813 2579121921 2850608439 6017951149 7737365763 18053853447 54161560341