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58423432485 = 3511247701977
BaseRepresentation
bin110110011010010011…
…101101010100100101
312120210121222212200210
4312122103231110211
51424122344314420
642501144530033
74135533660645
oct663223552445
9176717885623
1058423432485
1122860560600
12b3a5a80919
135680c39cc2
142b8333c525
1517be1319e0
hexd9a4ed525

58423432485 has 96 divisors (see below), whose sum is σ = 105191364096. Its totient is φ = 27655936000.

The previous prime is 58423432477. The next prime is 58423432541.

58423432485 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58423432485 - 23 = 58423432477 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 59798317 + ... + 59799293.

It is an arithmetic number, because the mean of its divisors is an integer number (1095743376).

Almost surely, 258423432485 is an apocalyptic number.

58423432485 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58423432485 is a deficient number, since it is larger than the sum of its proper divisors (46767931611).

58423432485 is a wasteful number, since it uses less digits than its factorization.

58423432485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1744 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 58423432485 in words is "fifty-eight billion, four hundred twenty-three million, four hundred thirty-two thousand, four hundred eighty-five".

Divisors: 1 3 5 11 15 33 47 55 121 141 165 235 363 517 605 701 705 977 1551 1815 2103 2585 2931 3505 4885 5687 7711 7755 10515 10747 14655 17061 23133 28435 32241 32947 38555 45919 53735 84821 85305 98841 115665 118217 137757 161205 164735 229595 254463 354651 362417 424105 494205 505109 591085 684877 688785 1087251 1272315 1515327 1773255 1812085 2054631 2525545 3424385 3986587 5436255 5556199 7533647 7576635 10273155 11959761 16668597 19932935 22600941 27780995 32189219 37668235 59798805 82870117 83342985 96567657 113004705 160946095 248610351 354081409 414350585 482838285 1062244227 1243051755 1770407045 3894895499 5311221135 11684686497 19474477495 58423432485