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9973090320399 = 3212772473350891
BaseRepresentation
bin1001000100100000101010…
…0000011000000000001111
31022022102021210220220002100
42101020022200120000033
52301344342110223044
633113324025130143
72046350322010023
oct221101240300017
938272253826070
109973090320399
1131a5622540498
121150a27929953
135745c60ac69b
142669b32bc383
1512465279e869
hex9120a81800f

9973090320399 has 24 divisors (see below), whose sum is σ = 14422726508112. Its totient is φ = 6640815012480.

The previous prime is 9973090320373. The next prime is 9973090320449. The reversal of 9973090320399 is 9930230903799.

9973090320399 is a `hidden beast` number, since 99 + 73 + 0 + 90 + 3 + 2 + 0 + 399 = 666.

It is a Cunningham number, because it is equal to 31580202-1.

It is not a de Polignac number, because 9973090320399 - 217 = 9973090189327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973090320359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28246744 + ... + 28597634.

It is an arithmetic number, because the mean of its divisors is an integer number (600946937838).

Almost surely, 29973090320399 is an apocalyptic number.

9973090320399 is a deficient number, since it is larger than the sum of its proper divisors (4449636187713).

9973090320399 is a wasteful number, since it uses less digits than its factorization.

9973090320399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354647 (or 354644 counting only the distinct ones).

The product of its (nonzero) digits is 22320522, while the sum is 63.

The spelling of 9973090320399 in words is "nine trillion, nine hundred seventy-three billion, ninety million, three hundred twenty thousand, three hundred ninety-nine".

Divisors: 1 3 9 1277 2473 3831 7419 11493 22257 350891 1052673 3158019 3158021 9474063 28422189 448087807 867753443 1344263421 2603260329 4032790263 7809780987 1108121146711 3324363440133 9973090320399