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82723360655 = 51331431675717
BaseRepresentation
bin100110100001010110…
…0100100111110001111
321220112010121010111102
41031002230210332033
52323404140020110
6102000320413315
75655650651405
oct1150254447617
9256463533442
1082723360655
11320a01a9271
1214047a7723b
137a5440a520
14400a72d475
15224261a5a5
hex1342b24f8f

82723360655 has 64 divisors (see below), whose sum is σ = 113614921728. Its totient is φ = 57386810880.

The previous prime is 82723360651. The next prime is 82723360667. The reversal of 82723360655 is 55606332728.

It is not a de Polignac number, because 82723360655 - 22 = 82723360651 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 (82723360651) 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, 14466857 + ... + 14472573.

It is an arithmetic number, because the mean of its divisors is an integer number (1775233152).

Almost surely, 282723360655 is an apocalyptic number.

82723360655 is a deficient number, since it is larger than the sum of its proper divisors (30891561073).

82723360655 is a wasteful number, since it uses less digits than its factorization.

82723360655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976.

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 82723360655 in words is "eighty-two billion, seven hundred twenty-three million, three hundred sixty thousand, six hundred fifty-five".

Divisors: 1 5 13 31 43 65 155 167 215 403 559 835 1333 2015 2171 2795 5177 5717 6665 7181 10855 17329 25885 28585 35905 67301 74321 86645 93353 177227 222611 245831 336505 371605 466765 886135 954739 1113055 1229155 2303951 2893943 3195803 4773695 7620761 11519755 12411607 14469715 15979015 29596909 38103805 41053777 62058035 99069893 147984545 205268885 384759817 495349465 533699101 1272667087 1923799085 2668495505 6363335435 16544672131 82723360655