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82354290717 = 33741101179167
BaseRepresentation
bin100110010110010110…
…0101100000000011101
321212120102010102201110
41030230230230000131
52322130144300332
6101455534132233
75643546630636
oct1145454540035
9255512112643
1082354290717
1131a20939596
1213b64351079
1379c5b0834a
143db36da88d
1522200164cc
hex132cb2c01d

82354290717 has 32 divisors (see below), whose sum is σ = 116668468224. Its totient is φ = 51599808000.

The previous prime is 82354290703. The next prime is 82354290719. The reversal of 82354290717 is 71709245328.

It is a happy number.

It is not a de Polignac number, because 82354290717 - 26 = 82354290653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82354290719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 370068 + ... + 549234.

It is an arithmetic number, because the mean of its divisors is an integer number (3645889632).

Almost surely, 282354290717 is an apocalyptic number.

It is an amenable number.

82354290717 is a deficient number, since it is larger than the sum of its proper divisors (34314177507).

82354290717 is a wasteful number, since it uses less digits than its factorization.

82354290717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179349.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 82354290717 in words is "eighty-two billion, three hundred fifty-four million, two hundred ninety thousand, seven hundred seventeen".

Divisors: 1 3 37 41 101 111 123 303 1517 3737 4141 4551 11211 12423 153217 179167 459651 537501 6629179 7345847 18095867 19887537 22037541 54287601 271796339 669547079 741930547 815389017 2008641237 2225791641 27451430239 82354290717