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1016316445365 = 3251310316866923
BaseRepresentation
bin11101100101000010010…
…11100100001010110101
310121011021211200201201100
432302201023210022311
5113122404002222430
62054520032320313
7133266161151414
oct16624113441265
93534254621640
101016316445365
11362021157891
12144b763a3099
1374ab878a040
143729342d47b
151b683e18960
hexeca12e42b5

1016316445365 has 48 divisors (see below), whose sum is σ = 1915542824832. Its totient is φ = 495482700672.

The previous prime is 1016316445289. The next prime is 1016316445387. The reversal of 1016316445365 is 5635446136101.

1016316445365 is a `hidden beast` number, since 1 + 0 + 1 + 63 + 16 + 44 + 536 + 5 = 666.

It is not a de Polignac number, because 1016316445365 - 29 = 1016316444853 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1016316445365.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8373207 + ... + 8493716.

It is an arithmetic number, because the mean of its divisors is an integer number (39907142184).

Almost surely, 21016316445365 is an apocalyptic number.

1016316445365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016316445365 is a deficient number, since it is larger than the sum of its proper divisors (899226379467).

1016316445365 is a wasteful number, since it uses less digits than its factorization.

1016316445365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16867050 (or 16867047 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 1016316 and 445365, that added together give a square (1461681 = 12092).

The spelling of 1016316445365 in words is "one trillion, sixteen billion, three hundred sixteen million, four hundred forty-five thousand, three hundred sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 103 117 195 309 515 585 927 1339 1545 4017 4635 6695 12051 20085 60255 16866923 50600769 84334615 151802307 219269999 253003845 657809997 759011535 1096349995 1737293069 1973429991 3289049985 5211879207 8686465345 9867149955 15635637621 22584809897 26059396035 67754429691 78178188105 112924049485 203263289073 338772148455 1016316445365