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997507705799 = 113141103709977
BaseRepresentation
bin11101000010000000001…
…01111010101111000111
310112100202000201202120102
432201000011322233013
5112320343433041144
62042125415554315
7132032112413123
oct16410005725707
93470660652512
10997507705799
1135504a105420
121413a738b99b
13730abb36947
14363cb440583
151ae32a5db4e
hexe84017abc7

997507705799 has 64 divisors (see below), whose sum is σ = 1164691906560. Its totient is φ = 845793792000.

The previous prime is 997507705793. The next prime is 997507705813.

997507705799 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 997507705799 - 228 = 997239270343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997507705793) 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 63 ways as a sum of consecutive naturals, for example, 1020989999 + ... + 1020990975.

It is an arithmetic number, because the mean of its divisors is an integer number (18198311040).

Almost surely, 2997507705799 is an apocalyptic number.

997507705799 is a deficient number, since it is larger than the sum of its proper divisors (167184200761).

997507705799 is a wasteful number, since it uses less digits than its factorization.

997507705799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 393824025, while the sum is 74.

The spelling of 997507705799 in words is "nine hundred ninety-seven billion, five hundred seven million, seven hundred five thousand, seven hundred ninety-nine".

Divisors: 1 11 31 41 103 341 451 709 977 1133 1271 3193 4223 7799 10747 13981 21979 29069 30287 35123 40057 46453 73027 100631 130913 241769 319759 333157 440627 692693 803297 901139 1106941 1241767 1440043 2263837 2994107 3119561 4125871 7619623 9912529 13659437 21473483 24902207 28400413 32935177 34315171 45384581 71347379 92817317 127902001 236208313 312404543 784821169 880412803 1020990487 1406922011 2211768749 2925242539 9684540833 24329456239 32177667929 90682518709 997507705799