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105824536245485 = 57379103137260081
BaseRepresentation
bin11000000011111100110001…
…111001000011010011101101
3111212200201121212211210220022
4120003330301321003103231
5102332312122234323420
61013023042032331525
731201366442304011
oct3003746171032355
9455621555753808
10105824536245485
113079aa2a963862
12ba516070a3ba5
1347082985b8915
141c1bd13468541
15c37b143ebc25
hex603f31e434ed

105824536245485 has 64 divisors (see below), whose sum is σ = 132585392609280. Its totient is φ = 81046287728640.

The previous prime is 105824536245377. The next prime is 105824536245517. The reversal of 105824536245485 is 584542635428501.

It is not a de Polignac number, because 105824536245485 - 28 = 105824536245229 is a prime.

It is a super-3 number, since 3×1058245362454853 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406760645 + ... + 407020725.

It is an arithmetic number, because the mean of its divisors is an integer number (2071646759520).

Almost surely, 2105824536245485 is an apocalyptic number.

It is an amenable number.

105824536245485 is a deficient number, since it is larger than the sum of its proper divisors (26760856363795).

105824536245485 is a wasteful number, since it uses less digits than its factorization.

105824536245485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260478.

The product of its (nonzero) digits is 184320000, while the sum is 62.

The spelling of 105824536245485 in words is "one hundred five trillion, eight hundred twenty-four billion, five hundred thirty-six million, two hundred forty-five thousand, four hundred eighty-five".

Divisors: 1 5 73 79 103 137 365 395 515 685 5767 7519 8137 10001 10823 14111 28835 37595 40685 50005 54115 70555 260081 594001 790079 1030103 1114769 1300405 2970005 3950395 5150515 5573845 18985913 20546399 26788343 35631097 81378137 94929565 102731995 133941715 178155485 406890685 1499887127 1955549039 2116279097 2601070081 2814856663 3670002991 7499435635 9777745195 10581395485 13005350405 14074283315 18350014955 154488374081 205484536399 267910218343 289930236289 772441870405 1027422681995 1339551091715 1449651181445 21164907249097 105824536245485