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999505505999 = 721113433317299
BaseRepresentation
bin11101000101101110010…
…10111010111011001111
310112112220020221112020102
432202313022322323033
5112333441402142444
62043055543441315
7132132451423400
oct16426712727317
93475806845212
10999505505999
1135598488a270
1214186445623b
13733399c0940
143653a8c59a7
151aeed13984e
hexe8b72baecf

999505505999 has 48 divisors (see below), whose sum is σ = 1397724451200. Its totient is φ = 702205640640.

The previous prime is 999505505983. The next prime is 999505506017.

999505505999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 999505505999 - 24 = 999505505983 is a prime.

It is a super-2 number, since 2×9995055059992 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999505505969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1357349 + ... + 1959950.

It is an arithmetic number, because the mean of its divisors is an integer number (29119259400).

Almost surely, 2999505505999 is an apocalyptic number.

999505505999 is a deficient number, since it is larger than the sum of its proper divisors (398218945201).

999505505999 is a wasteful number, since it uses less digits than its factorization.

999505505999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317380 (or 3317373 counting only the distinct ones).

The product of its (nonzero) digits is 332150625, while the sum is 74.

The spelling of 999505505999 in words is "nine hundred ninety-nine billion, five hundred five million, five hundred five thousand, nine hundred ninety-nine".

Divisors: 1 7 11 13 43 49 77 91 143 301 473 539 559 637 1001 2107 3311 3913 6149 7007 23177 27391 43043 301301 3317299 23221093 36490289 43124887 142643857 162547651 255432023 301874209 474373757 998506999 1569082427 1788024161 1854370141 2113119463 3320616299 6989548993 10983576989 12980590987 20398071551 23244314093 76885038923 90864136909 142786500857 999505505999