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1992525080805 = 335719110973271
BaseRepresentation
bin11100111111101011101…
…111111110100011100101
321001111001111110121112000
4130333223233332203211
5230121142410041210
64123204155315513
7263645425511520
oct34775357764345
97044044417460
101992525080805
116a9030510416
122821b874bb99
13115b81a4826c
146c61dc29bb7
1536c6bb51ac0
hex1cfebbfe8e5

1992525080805 has 64 divisors (see below), whose sum is σ = 4261373644800. Its totient is φ = 862928147520.

The previous prime is 1992525080779. The next prime is 1992525080809. The reversal of 1992525080805 is 5080805252991.

1992525080805 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 52 + 508 + 0 + 80 + 5 = 666.

It is not a de Polignac number, because 1992525080805 - 27 = 1992525080677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992525080809) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 55468681 + ... + 55504590.

It is an arithmetic number, because the mean of its divisors is an integer number (66583963200).

Almost surely, 21992525080805 is an apocalyptic number.

1992525080805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1992525080805 is an abundant number, since it is smaller than the sum of its proper divisors (2268848563995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1992525080805 is a wasteful number, since it uses less digits than its factorization.

1992525080805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110973311 (or 110973305 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 1992525080805 in words is "one trillion, nine hundred ninety-two billion, five hundred twenty-five million, eighty thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1197 1995 2565 3591 5985 17955 110973271 332919813 554866355 776812897 998759439 1664599065 2108492149 2330438691 2996278317 3884064485 4993797195 6325476447 6991316073 10542460745 11652193455 14759445043 14981391585 18976429341 20973948219 31627382235 34956580365 44278335129 56929288023 73797225215 94882146705 104869741095 132835005387 221391675645 284646440115 398505016161 664175026935 1992525080805