Search a number
-
+
540117750285 = 3251931149313649
BaseRepresentation
bin1111101110000011000…
…01101101001000001101
31220122010201211120202200
413313001201231020031
532322130121002120
61052043205512113
754010423061421
oct7670141551015
91818121746680
10540117750285
11199076431023
1288818412639
133bc1871a259
141c1db2c2b81
15e0b2b28e90
hex7dc186d20d

540117750285 has 96 divisors (see below), whose sum is σ = 1018023552000. Its totient is φ = 263902095360.

The previous prime is 540117750241. The next prime is 540117750299. The reversal of 540117750285 is 582057711045.

540117750285 is a `hidden beast` number, since 5 + 401 + 177 + 50 + 28 + 5 = 666.

It is not a de Polignac number, because 540117750285 - 210 = 540117749261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 540117750285.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39565141 + ... + 39578789.

It is an arithmetic number, because the mean of its divisors is an integer number (10604412000).

Almost surely, 2540117750285 is an apocalyptic number.

It is an amenable number.

540117750285 is a deficient number, since it is larger than the sum of its proper divisors (477905801715).

540117750285 is a wasteful number, since it uses less digits than its factorization.

540117750285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203 (or 15200 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 540117750285 in words is "five hundred forty billion, one hundred seventeen million, seven hundred fifty thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 19 31 45 57 93 95 155 171 279 285 465 589 855 1395 1493 1767 2945 4479 5301 7465 8835 13437 13649 22395 26505 28367 40947 46283 67185 68245 85101 122841 138849 141835 204735 231415 255303 259331 416547 423119 425505 614205 694245 777993 879377 1269357 1276515 1296655 2082735 2115595 2333979 2638131 3808071 3889965 4396885 6346785 7914393 8039261 11669895 13190655 19040355 20377957 24117783 39571965 40196305 61133871 72353349 101889785 120588915 183401613 305669355 361766745 387181183 631716667 917008065 1161543549 1895150001 1935905915 3158583335 3484630647 5685450003 5807717745 9475750005 12002616673 17423153235 28427250015 36007850019 60013083365 108023550057 180039250095 540117750285