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59136026041 = 2329721092
BaseRepresentation
bin110111000100110010…
…000010010110111001
312122122021212101021201
4313010302002112321
51432102310313131
643100002134201
74162305633121
oct670462022671
9178567771251
1059136026041
11230968216a4
12b564651361
1357657685b1
142c0dc33c81
151811990761
hexdc4c825b9

59136026041 has 27 divisors (see below), whose sum is σ = 63041135661. Its totient is φ = 55468157184.

The previous prime is 59136026029. The next prime is 59136026153. The reversal of 59136026041 is 14062063195.

The square root of 59136026041 is 243179.

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 1345789225 + 57790236816 = 36685^2 + 240396^2 .

It is not a de Polignac number, because 59136026041 - 27 = 59136025913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (59136026941) 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 26 ways as a sum of consecutive naturals, for example, 542532295 + ... + 542532403.

Almost surely, 259136026041 is an apocalyptic number.

59136026041 is the 243179-th square number.

59136026041 is the 121590-th centered octagonal number.

It is an amenable number.

59136026041 is a deficient number, since it is larger than the sum of its proper divisors (3905109620).

59136026041 is an frugal number, since it uses more digits than its factorization.

59136026041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 59136026041 in words is "fifty-nine billion, one hundred thirty-six million, twenty-six thousand, forty-one".

Divisors: 1 23 97 109 529 2231 2507 9409 10573 11881 51313 57661 216407 243179 273263 1025581 1152457 4977361 5593117 6285049 23588363 26506511 111788329 542532349 609649753 2571131567 59136026041