Search a number
-
+
540041504535 = 33513463766361
BaseRepresentation
bin1111101101111001111…
…10110110011100010111
31220121221102100220021000
413312330332312130113
532322001111121120
61052031443354343
754005506022541
oct7667476663427
91817842326230
10540041504535
11199037394505
12887b69829b3
133bc059a2920
141c1d1116691
15e0ab0b7990
hex7dbcfb6717

540041504535 has 64 divisors (see below), whose sum is σ = 1034164172160. Its totient is φ = 265805245440.

The previous prime is 540041504473. The next prime is 540041504549. The reversal of 540041504535 is 535405140045.

540041504535 is a `hidden beast` number, since 54 + 0 + 0 + 4 + 150 + 453 + 5 = 666.

It is not a de Polignac number, because 540041504535 - 28 = 540041504279 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540041504535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8104755 + ... + 8171115.

It is an arithmetic number, because the mean of its divisors is an integer number (16158815190).

Almost surely, 2540041504535 is an apocalyptic number.

540041504535 is a deficient number, since it is larger than the sum of its proper divisors (494122667625).

540041504535 is a wasteful number, since it uses less digits than its factorization.

540041504535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71025 (or 71019 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 540041504535 in words is "five hundred forty billion, forty-one million, five hundred four thousand, five hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 4637 13911 23185 41733 60281 66361 69555 125199 180843 199083 208665 301405 331805 542529 597249 625995 862693 904215 995415 1627587 1791747 2588079 2712645 2986245 4313465 7764237 8137935 8958735 12940395 23292711 38821185 116463555 307715957 923147871 1538579785 2769443613 4000307441 4615739355 8308330839 12000922323 13847218065 20001537205 36002766969 41541654195 60004611615 108008300907 180013834845 540041504535