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999045540999 = 321129723340591
BaseRepresentation
bin11101000100110111100…
…00010010110010000111
310112111201012102212212200
432202123300102302013
5112332021124302444
62042542153045543
7132115164661512
oct16423360226207
93474635385780
10999045540999
11355769187800
121417563b68b3
13732956152bc
14364d5791d79
151aec2a7d969
hexe89bc12c87

999045540999 has 72 divisors (see below), whose sum is σ = 1609449581376. Its totient is φ = 596653516800.

The previous prime is 999045540991. The next prime is 999045541037.

999045540999 is a `hidden beast` number, since 9 + 9 + 90 + 45 + 5 + 409 + 99 = 666.

999045540999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 999045540999 - 23 = 999045540991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999045540991) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 24592194 + ... + 24632784.

It is an arithmetic number, because the mean of its divisors is an integer number (22353466408).

Almost surely, 2999045540999 is an apocalyptic number.

999045540999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

999045540999 is a deficient number, since it is larger than the sum of its proper divisors (610404040377).

999045540999 is a wasteful number, since it uses less digits than its factorization.

999045540999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40949 (or 40935 counting only the distinct ones).

The product of its (nonzero) digits is 212576400, while the sum is 72.

The spelling of 999045540999 in words is "nine hundred ninety-nine billion, forty-five million, five hundred forty thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 97 99 121 233 291 363 699 873 1067 1089 2097 2563 3201 7689 9603 11737 22601 23067 28193 35211 40591 67803 84579 105633 121773 203409 248611 253737 365319 446501 745833 1339503 2237499 2734721 3937327 4018509 4911511 8204163 9457703 11811981 14734533 24612489 28373109 35435943 43310597 44203599 85119327 104034733 129931791 312104199 389795373 476416567 917397191 936312597 1144382063 1429249701 2752191573 3433146189 4287749103 8256574719 10091369101 10299438567 30274107303 90822321909 111005060111 333015180333 999045540999