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809757920097 = 32712853300319
BaseRepresentation
bin10111100100010010101…
…01010100101101100001
32212102010102101102220200
423302021111110231201
5101231341011420342
61415555254255413
7112334361516450
oct13621125245541
92772112342820
10809757920097
11292464265575
12110b2a357569
135b48a7683a9
142b29a2b0b97
15160e4cd294c
hexbc89554b61

809757920097 has 12 divisors (see below), whose sum is σ = 1336743233280. Its totient is φ = 462718811448.

The previous prime is 809757920063. The next prime is 809757920117. The reversal of 809757920097 is 790029757908.

It is not a de Polignac number, because 809757920097 - 27 = 809757919969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 12853300319 = 809757920097 / (8 + 0 + 9 + 7 + 5 + 7 + 9 + 2 + 0 + 0 + 9 + 7).

It is not an unprimeable number, because it can be changed into a prime (809757920057) 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 11 ways as a sum of consecutive naturals, for example, 6426650097 + ... + 6426650222.

It is an arithmetic number, because the mean of its divisors is an integer number (111395269440).

Almost surely, 2809757920097 is an apocalyptic number.

It is an amenable number.

809757920097 is a deficient number, since it is larger than the sum of its proper divisors (526985313183).

809757920097 is a wasteful number, since it uses less digits than its factorization.

809757920097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12853300332 (or 12853300329 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 809757920097 in words is "eight hundred nine billion, seven hundred fifty-seven million, nine hundred twenty thousand, ninety-seven".

Divisors: 1 3 7 9 21 63 12853300319 38559900957 89973102233 115679702871 269919306699 809757920097