Search a number
-
+
505316386839 = 311719713011709
BaseRepresentation
bin1110101101001110011…
…01000010100000010111
31210022022100221010221210
413112213031002200113
531234341443334324
61024050015512503
751336132263415
oct7264715024027
91708270833853
10505316386839
11185337a21630
1281b25528733
13388606c40c4
141a6593222b5
15d227733d29
hex75a7342817

505316386839 has 64 divisors (see below), whose sum is σ = 754061736960. Its totient is φ = 298421760000.

The previous prime is 505316386823. The next prime is 505316386867. The reversal of 505316386839 is 938683613505.

It is not a de Polignac number, because 505316386839 - 24 = 505316386823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505316386139) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 295678717 + ... + 295680425.

It is an arithmetic number, because the mean of its divisors is an integer number (11782214640).

Almost surely, 2505316386839 is an apocalyptic number.

505316386839 is a deficient number, since it is larger than the sum of its proper divisors (248745350121).

505316386839 is a wasteful number, since it uses less digits than its factorization.

505316386839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192.

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 505316386839 in words is "five hundred five billion, three hundred sixteen million, three hundred eighty-six thousand, eight hundred thirty-nine".

Divisors: 1 3 11 33 71 97 213 291 781 1067 1301 1709 2343 3201 3903 5127 6887 14311 18799 20661 42933 56397 75757 92371 121339 126197 165773 227271 277113 364017 378591 497319 1016081 1334729 1388167 1823503 2223409 3048243 4004187 4164501 5470509 6670227 8959987 11769883 24457499 26879961 35309649 73372497 98559857 129468713 157862039 215670673 295679571 388406139 473586117 647012019 1736482429 2372377403 5209447287 7117132209 15312617783 45937853349 168438795613 505316386839