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58306660385 = 5113428924061
BaseRepresentation
bin110110010011010110…
…010000100000100001
312120111111021020111012
4312103112100200201
51423403001113020
642441414030305
74132615302341
oct662326204041
9176444236435
1058306660385
1122800653a36
12b372948395
1356629a339c
142b71a22d21
1517b3c677c5
hexd93590821

58306660385 has 16 divisors (see below), whose sum is σ = 70606570320. Its totient is φ = 46219837440.

The previous prime is 58306660339. The next prime is 58306660409.

58306660385 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2957510689 + 55349149696 = 54383^2 + 235264^2 .

It is not a de Polignac number, because 58306660385 - 210 = 58306659361 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2411255 + ... + 2435315.

It is an arithmetic number, because the mean of its divisors is an integer number (4412910645).

Almost surely, 258306660385 is an apocalyptic number.

It is an amenable number.

58306660385 is a deficient number, since it is larger than the sum of its proper divisors (12299909935).

58306660385 is a wasteful number, since it uses less digits than its factorization.

58306660385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28468.

The product of its (nonzero) digits is 3110400, while the sum is 50.

The spelling of 58306660385 in words is "fifty-eight billion, three hundred six million, six hundred sixty thousand, three hundred eighty-five".

Divisors: 1 5 113 565 4289 21445 24061 120305 484657 2423285 2718893 13594465 103197629 515988145 11661332077 58306660385