Search a number
-
+
90017074999965 = 3580891661944641
BaseRepresentation
bin10100011101111010111011…
…110001110111001010011101
3102210201112210201201010222110
4110131322323301313022131
543244314432144444330
6515241135014104233
724650343014545641
oct2435727361671235
9383645721633873
1090017074999965
1126756033108383
12a119ab434b079
133b2c75c6b03c9
141832bc7726c21
15a6183d91adb0
hex51debbc7729d

90017074999965 has 32 divisors (see below), whose sum is σ = 144057019766400. Its totient is φ = 47999207854080.

The previous prime is 90017074999939. The next prime is 90017074999979. The reversal of 90017074999965 is 56999947071009.

It is not a de Polignac number, because 90017074999965 - 213 = 90017074991773 is a prime.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016444045 + ... + 2016488685.

It is an arithmetic number, because the mean of its divisors is an integer number (4501781867700).

Almost surely, 290017074999965 is an apocalyptic number.

It is an amenable number.

90017074999965 is a deficient number, since it is larger than the sum of its proper divisors (54039944766435).

90017074999965 is a wasteful number, since it uses less digits than its factorization.

90017074999965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69357.

The product of its (nonzero) digits is 347208120, while the sum is 75.

The spelling of 90017074999965 in words is "ninety trillion, seventeen billion, seventy-four million, nine hundred ninety-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 8089 16619 24267 40445 44641 49857 83095 121335 133923 223205 249285 669615 134431091 361101049 403293273 672155455 741888779 1083303147 1805505245 2016466365 2225666337 3709443895 5416515735 11128331685 6001138333331 18003414999993 30005691666655 90017074999965