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5575683003156 = 2232726151816689
BaseRepresentation
bin101000100100011000010…
…0110101101001100010100
3201202000210221020202021200
41101020300212231030110
51212322444322100111
615505233341112500
71113554423356500
oct121106046551424
921660727222250
105575683003156
11185a6a7774452
12760730b58730
13315a27b56136
14153c16275300
159a082833256
hex512309ad314

5575683003156 has 108 divisors (see below), whose sum is σ = 16663936603860. Its totient is φ = 1566936645120.

The previous prime is 5575683003061. The next prime is 5575683003157. The reversal of 5575683003156 is 6513003865755.

5575683003156 is a `hidden beast` number, since 5 + 575 + 6 + 8 + 30 + 0 + 31 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1135644023556 + 4440038979600 = 1065666^2 + 2107140^2 .

It is a super-2 number, since 2×55756830031562 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5575683003157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25800741 + ... + 26015948.

It is an arithmetic number, because the mean of its divisors is an integer number (154295709295).

Almost surely, 25575683003156 is an apocalyptic number.

It is an amenable number.

5575683003156 is an abundant number, since it is smaller than the sum of its proper divisors (11088253600704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5575683003156 is a wasteful number, since it uses less digits than its factorization.

5575683003156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51816774 (or 51816762 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 5575683003156 in words is "five trillion, five hundred seventy-five billion, six hundred eighty-three million, three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 61 63 84 98 122 126 147 183 196 244 252 294 366 427 441 549 588 732 854 882 1098 1281 1708 1764 2196 2562 2989 3843 5124 5978 7686 8967 11956 15372 17934 26901 35868 53802 107604 51816689 103633378 155450067 207266756 310900134 362716823 466350201 621800268 725433646 932700402 1088150469 1450867292 1865400804 2176300938 2539017761 3160818029 3264451407 4352601876 5078035522 6321636058 6528902814 7617053283 9482454087 10156071044 12643272116 13057805628 15234106566 18964908174 22125726203 22851159849 28447362261 30468213132 37929816348 44251452406 45702319698 56894724522 66377178609 88502904812 91404639396 113789449044 132754357218 154880083421 199131535827 265508714436 309760166842 398263071654 464640250263 619520333684 796526143308 929280500526 1393920750789 1858561001052 2787841501578 5575683003156