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58033350505 = 51330729473
BaseRepresentation
bin110110000011000011…
…101010011101101001
312112210102222122211001
4312003003222131221
51422323014204010
642354332035001
74123056224464
oct660303523551
9175712878731
1058033350505
112268034a1a9
12b2b7302a61
13561b18bb70
142b475da2db
151799c7bc3a
hexd830ea769

58033350505 has 24 divisors (see below), whose sum is σ = 75249973512. Its totient is φ = 42711293952.

The previous prime is 58033350503. The next prime is 58033350509. The reversal of 58033350505 is 50505333085.

58033350505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10388501776 + 47644848729 = 101924^2 + 218277^2 .

It is not a de Polignac number, because 58033350505 - 21 = 58033350503 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58033350503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6121449 + ... + 6130921.

It is an arithmetic number, because the mean of its divisors is an integer number (3135415563).

Almost surely, 258033350505 is an apocalyptic number.

It is an amenable number.

58033350505 is a deficient number, since it is larger than the sum of its proper divisors (17216623007).

58033350505 is an equidigital number, since it uses as much as digits as its factorization.

58033350505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

The spelling of 58033350505 in words is "fifty-eight billion, thirty-three million, three hundred fifty thousand, five hundred five".

Divisors: 1 5 13 65 307 1535 3991 9473 19955 47365 94249 123149 471245 615745 1225237 2908211 6126185 14541055 37806743 189033715 892820777 4464103885 11606670101 58033350505