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58036182649 = 1723723832
BaseRepresentation
bin110110000011001110…
…011101111001111001
312112210122022112210021
4312003032131321321
51422324230321044
642354512450441
74123122261454
oct660316357171
9175718275707
1058036182649
1122681a04015
12b2b8249a21
13561b940ca3
142b47b3649b
15179a13ae84
hexd8339de79

58036182649 has 27 divisors (see below), whose sum is σ = 63528035277. Its totient is φ = 53007249024.

The previous prime is 58036182623. The next prime is 58036182653. The reversal of 58036182649 is 94628163085.

The square root of 58036182649 is 240907.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26996790249 + 31039392400 = 164307^2 + 176180^2 .

It is not a de Polignac number, because 58036182649 - 27 = 58036182521 is a prime.

It is a super-4 number, since 4×580361826494 (a number of 44 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 58036182596 and 58036182605.

It is not an unprimeable number, because it can be changed into a prime (58036182619) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 151530312 + ... + 151530694.

Almost surely, 258036182649 is an apocalyptic number.

58036182649 is the 240907-th square number.

58036182649 is the 120454-th centered octagonal number.

It is an amenable number.

58036182649 is a deficient number, since it is larger than the sum of its proper divisors (5491852628).

58036182649 is an frugal number, since it uses more digits than its factorization.

58036182649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 58036182649 in words is "fifty-eight billion, thirty-six million, one hundred eighty-two thousand, six hundred forty-nine".

Divisors: 1 17 37 289 383 629 1369 6511 10693 14171 23273 110687 146689 240907 395641 524327 2493713 4095419 5427493 8913559 42393121 92267381 151530503 200817241 1568545477 3413893097 58036182649