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58477277485 = 51121732772017
BaseRepresentation
bin110110011101100001…
…000111000100101101
312120221101022111011001
4312131201013010231
51424230140334420
642510351000301
74140056441314
oct663541070455
9176841274131
1058477277485
1122888998100
12b3bbb09091
13568c140553
142b8a55727b
1517c3c1ab0a
hexd9d84712d

58477277485 has 48 divisors (see below), whose sum is σ = 77896527408. Its totient is φ = 42109562880.

The previous prime is 58477277477. The next prime is 58477277513.

58477277485 is nontrivially palindromic in base 10.

58477277485 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 8 ways, for example, as 1903227876 + 56574049609 = 43626^2 + 237853^2 .

It is not a de Polignac number, because 58477277485 - 23 = 58477277477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28991197 + ... + 28993213.

It is an arithmetic number, because the mean of its divisors is an integer number (1622844321).

Almost surely, 258477277485 is an apocalyptic number.

58477277485 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58477277485 is a deficient number, since it is larger than the sum of its proper divisors (19419249923).

58477277485 is a wasteful number, since it uses less digits than its factorization.

58477277485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2483 counting only the distinct ones).

The product of its digits is 122931200, while the sum is 64.

The spelling of 58477277485 in words is "fifty-eight billion, four hundred seventy-seven million, two hundred seventy-seven thousand, four hundred eighty-five".

Divisors: 1 5 11 55 121 173 277 605 865 1385 1903 2017 3047 9515 10085 15235 20933 22187 33517 47921 104665 110935 167585 239605 244057 348941 527131 558709 1220285 1744705 2635655 2793545 3838351 5798441 6145799 19191755 28992205 30728995 42221861 67603789 96656657 211109305 338018945 483283285 1063223227 5316116135 11695455497 58477277485