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58682680427 = 7219316133847
BaseRepresentation
bin110110101001110000…
…101010010001101011
312121110200211001000102
4312221300222101223
51430140231233202
642543005300015
74145132360600
oct665160522153
9177420731012
1058682680427
11229839303a8
12b45886460b
1356c2869b57
142ba99446a7
1517d6c90d02
hexda9c2a46b

58682680427 has 24 divisors (see below), whose sum is σ = 68677610976. Its totient is φ = 49994800128.

The previous prime is 58682680339. The next prime is 58682680499. The reversal of 58682680427 is 72408628685.

It is a happy number.

58682680427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58682680427 - 222 = 58678486123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58682620427) 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, 15252218 + ... + 15256064.

It is an arithmetic number, because the mean of its divisors is an integer number (2861567124).

Almost surely, 258682680427 is an apocalyptic number.

58682680427 is a deficient number, since it is larger than the sum of its proper divisors (9994930549).

58682680427 is a wasteful number, since it uses less digits than its factorization.

58682680427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 56.

The spelling of 58682680427 in words is "fifty-eight billion, six hundred eighty-two million, six hundred eighty thousand, four hundred twenty-seven".

Divisors: 1 7 49 193 1351 1613 3847 9457 11291 26929 79037 188503 311309 742471 2179163 5197297 6205211 15254141 36381079 43436477 304055339 1197605723 8383240061 58682680427