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821680796097 = 32713042552319
BaseRepresentation
bin10111111010011111111…
…11011111000111000001
32220112220100101022000200
423331033333133013001
5101430300240433342
61425250331035413
7113236005346050
oct13751777370701
92815810338020
10821680796097
1129752242a7a7
121132b729bb69
135c63a9388c5
142baab974397
15165918bb94c
hexbf4ffdf1c1

821680796097 has 12 divisors (see below), whose sum is σ = 1356425441280. Its totient is φ = 469531883448.

The previous prime is 821680796051. The next prime is 821680796147. The reversal of 821680796097 is 790697086128.

821680796097 is a `hidden beast` number, since 8 + 2 + 16 + 8 + 0 + 7 + 9 + 609 + 7 = 666.

It is not a de Polignac number, because 821680796097 - 26 = 821680796033 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: 13042552319 = 821680796097 / (8 + 2 + 1 + 6 + 8 + 0 + 7 + 9 + 6 + 0 + 9 + 7).

It is not an unprimeable number, because it can be changed into a prime (821680796047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6521276097 + ... + 6521276222.

It is an arithmetic number, because the mean of its divisors is an integer number (113035453440).

Almost surely, 2821680796097 is an apocalyptic number.

It is an amenable number.

821680796097 is a deficient number, since it is larger than the sum of its proper divisors (534744645183).

821680796097 is a wasteful number, since it uses less digits than its factorization.

821680796097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042552332 (or 13042552329 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 821680796097 in words is "eight hundred twenty-one billion, six hundred eighty million, seven hundred ninety-six thousand, ninety-seven".

Divisors: 1 3 7 9 21 63 13042552319 39127656957 91297866233 117382970871 273893598699 821680796097