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58504483129 = 2418772
BaseRepresentation
bin110110011111001000…
…111001000100111001
312121000021111200021111
4312133020321010321
51424304121430004
642513202040321
74140536621131
oct663710710471
9177007450244
1058504483129
11228a228a104
12b4090490a1
135694977671
142b8ddd9ac1
1517c62e1a04
hexd9f239139

58504483129 has 3 divisors (see below), whose sum is σ = 58504725007. Its totient is φ = 58504241252.

The previous prime is 58504483049. The next prime is 58504483171. The reversal of 58504483129 is 92138440585.

The square root of 58504483129 is 241877.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 352125225 + 58152357904 = 18765^2 + 241148^2 .

It is not a de Polignac number, because 58504483129 - 217 = 58504352057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58504483729) 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 2 ways as a sum of consecutive naturals, for example, 120939 + ... + 362815.

Almost surely, 258504483129 is an apocalyptic number.

58504483129 is the 241877-th square number.

58504483129 is the 120939-th centered octagonal number.

It is an amenable number.

58504483129 is a deficient number, since it is larger than the sum of its proper divisors (241878).

58504483129 is an frugal number, since it uses more digits than its factorization.

58504483129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483754 (or 241877 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

Multiplying 58504483129 by its sum of digits (49), we get a square (2866719673321 = 16931392).

The spelling of 58504483129 in words is "fifty-eight billion, five hundred four million, four hundred eighty-three thousand, one hundred twenty-nine".

Divisors: 1 241877 58504483129