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58727740642337 = 13172311014992511
BaseRepresentation
bin11010101101001100111100…
…00111101001010000100001
321200221022120012221201001202
431112212132013221100201
530144143403101023322
6324523052425010545
715240640106013224
oct1526463607512041
9250838505851052
1058727740642337
1117792327622108
1267059b5623a55
1326a0004a34020
14107061b5075bb
156bc99b262292
hex35699e1e9421

58727740642337 has 48 divisors (see below), whose sum is σ = 70038313304064. Its totient is φ = 48886657920000.

The previous prime is 58727740642313. The next prime is 58727740642369. The reversal of 58727740642337 is 73324604772785.

It is a happy number.

It is not a de Polignac number, because 58727740642337 - 212 = 58727740638241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (58727740642537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9266912 + ... + 14259422.

It is an arithmetic number, because the mean of its divisors is an integer number (1459131527168).

Almost surely, 258727740642337 is an apocalyptic number.

It is an amenable number.

58727740642337 is a deficient number, since it is larger than the sum of its proper divisors (11310572661727).

58727740642337 is a wasteful number, since it uses less digits than its factorization.

58727740642337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992690 (or 4992673 counting only the distinct ones).

The product of its (nonzero) digits is 331914240, while the sum is 65.

The spelling of 58727740642337 in words is "fifty-eight trillion, seven hundred twenty-seven billion, seven hundred forty million, six hundred forty-two thousand, three hundred thirty-seven".

Divisors: 1 13 17 31 101 221 289 403 527 1313 1717 3131 3757 6851 8959 22321 29189 40703 53227 116467 379457 691951 904859 4992511 11763167 64902643 84872687 154767841 504243611 1103344931 1442835679 2011981933 2631053297 6555166943 8572141387 15631551941 18756863827 34203692861 44727906049 111437838031 145726403579 203210175233 265736382997 581462778637 1894443246527 3454572978961 4517518510949 58727740642337