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58025052085 = 57112132936343
BaseRepresentation
bin110110000010100100…
…000000011110110101
312112202212101001112011
4312002210000132311
51422313403131320
642353434124221
74122625543030
oct660244003665
9175685331464
1058025052085
11226766a1500
12b2b4580671
135619544960
142b4647a017
15179918d05a
hexd829007b5

58025052085 has 96 divisors (see below), whose sum is σ = 97448440320. Its totient is φ = 32236807680.

The previous prime is 58025052077. The next prime is 58025052121.

It is a happy number.

58025052085 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58025052085 - 23 = 58025052077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1578424 + ... + 1614766.

It is an arithmetic number, because the mean of its divisors is an integer number (1015087920).

Almost surely, 258025052085 is an apocalyptic number.

58025052085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58025052085 is a deficient number, since it is larger than the sum of its proper divisors (39423388235).

58025052085 is a wasteful number, since it uses less digits than its factorization.

58025052085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36419 (or 36408 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 40.

The spelling of 58025052085 in words is "fifty-eight billion, twenty-five million, fifty-two thousand, eighty-five".

Divisors: 1 5 7 11 13 29 35 55 65 77 91 121 143 145 203 319 377 385 455 605 715 847 1001 1015 1573 1595 1885 2233 2639 3509 4147 4235 5005 7865 11011 11165 13195 17545 20735 24563 29029 36343 45617 55055 122815 145145 181715 228085 254401 319319 399773 472459 1053947 1272005 1596595 1998865 2362295 2798411 3307213 4397503 5197049 5269735 7377629 11593417 13701311 13992055 16536065 21987515 25985245 30782521 36379343 36888145 57167539 57967085 68506555 81153919 95909177 127527587 150714421 153912605 181896715 285837695 400172773 405769595 479545885 637637935 753572105 892693109 1055000947 1657858631 2000863865 4463465545 5275004735 8289293155 11605010417 58025052085