Search a number
-
+
557021015752014 = 2321116175317392181
BaseRepresentation
bin111111010100110111000111…
…1110001101011110101001110
32201001020200121022112201000100
41332221232033301223311032
51041002213020013031024
65252403531053111530
7225220304015661252
oct17651561761536516
92631220538481010
10557021015752014
1115153631697a7a0
12525824a31885a6
131aba6b19680ab8
149b79d65030262
15445e5dcc6b7c9
hex1fa9b8fc6bd4e

557021015752014 has 48 divisors (see below), whose sum is σ = 1316603343382704. Its totient is φ = 168793193961600.

The previous prime is 557021015751997. The next prime is 557021015752079. The reversal of 557021015752014 is 410257510120755.

557021015752014 is a `hidden beast` number, since 5 + 5 + 7 + 0 + 2 + 101 + 5 + 7 + 520 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23331004 + ... + 40723184.

It is an arithmetic number, because the mean of its divisors is an integer number (27429236320473).

Almost surely, 2557021015752014 is an apocalyptic number.

557021015752014 is an abundant number, since it is smaller than the sum of its proper divisors (759582327630690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

557021015752014 is a wasteful number, since it uses less digits than its factorization.

557021015752014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17553953 (or 17553950 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

Adding to 557021015752014 its reverse (410257510120755), we get a palindrome (967278525872769).

The spelling of 557021015752014 in words is "five hundred fifty-seven trillion, twenty-one billion, fifteen million, seven hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 161753 323506 485259 970518 1455777 1779283 2911554 3558566 5337849 10675698 16013547 17392181 32027094 34784362 52176543 104353086 156529629 191313991 313059258 382627982 573941973 1147883946 1721825919 3443651838 2813237453293 5626474906586 8439712359879 16879424719758 25319137079637 30945611986223 50638274159274 61891223972446 92836835958669 185673671917338 278510507876007 557021015752014