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542148666841245 = 35173757461437927
BaseRepresentation
bin111101101000101001101001…
…0101100111101100010011101
32122002120220110202020112120110
41323101103102230331202131
51032030030432202404440
65201015354221240233
7222123643240024512
oct17321232254754235
92562526422215513
10542148666841245
11147821a5a710982
1250980063703079
131a3685277c7319
1497c41c7aa3309
1542a27e7137080
hex1ed14d2b3d89d

542148666841245 has 32 divisors (see below), whose sum is σ = 943286965026048. Its totient is φ = 264782305963008.

The previous prime is 542148666841169. The next prime is 542148666841247.

542148666841245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542148666841245 - 215 = 542148666808477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542148666841247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28730709529 + ... + 28730728398.

It is an arithmetic number, because the mean of its divisors is an integer number (29477717657064).

Almost surely, 2542148666841245 is an apocalyptic number.

It is an amenable number.

542148666841245 is a deficient number, since it is larger than the sum of its proper divisors (401138298184803).

542148666841245 is a wasteful number, since it uses less digits than its factorization.

542148666841245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57461437989.

The product of its digits is 353894400, while the sum is 66.

The spelling of 542148666841245 in words is "five hundred forty-two trillion, one hundred forty-eight billion, six hundred sixty-six million, eight hundred forty-one thousand, two hundred forty-five".

Divisors: 1 3 5 15 17 37 51 85 111 185 255 555 629 1887 3145 9435 57461437927 172384313781 287307189635 861921568905 976844444759 2126073203299 2930533334277 4884222223795 6378219609897 10630366016495 14652666671385 31891098049485 36143244456083 108429733368249 180716222280415 542148666841245