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82330445107575 = 3352719191227397
BaseRepresentation
bin10010101110000100001100…
…111011110101000101110111
3101210111201021021110121112000
4102232010030323311011313
541242400222421420300
6451034030115030343
723225115115521450
oct2256041473650567
9353451237417460
1082330445107575
1124262166a05155
12929823759b3b3
1336c295c893132
141648b59b78127
1597b90cd22c00
hex4ae10cef5177

82330445107575 has 96 divisors (see below), whose sum is σ = 173755351326720. Its totient is φ = 37439723318400.

The previous prime is 82330445107571. The next prime is 82330445107619. The reversal of 82330445107575 is 57570154403328.

82330445107575 is a `hidden beast` number, since 8 + 2 + 3 + 30 + 44 + 510 + 7 + 57 + 5 = 666.

It is not a de Polignac number, because 82330445107575 - 22 = 82330445107571 is a prime.

It is a super-2 number, since 2×823304451075752 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82330445107571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44711224 + ... + 46516173.

It is an arithmetic number, because the mean of its divisors is an integer number (1809951576320).

Almost surely, 282330445107575 is an apocalyptic number.

82330445107575 is an abundant number, since it is smaller than the sum of its proper divisors (91424906219145).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82330445107575 is a wasteful number, since it uses less digits than its factorization.

82330445107575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91227614 (or 91227603 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 82330445107575 in words is "eighty-two trillion, three hundred thirty billion, four hundred forty-five million, one hundred seven thousand, five hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 191 225 315 525 573 675 945 955 1337 1575 1719 2865 4011 4725 4775 5157 6685 8595 12033 14325 20055 25785 33425 36099 42975 60165 100275 128925 180495 300825 902475 91227397 273682191 456136985 638591779 821046573 1368410955 1915775337 2280684925 2463139719 3192958895 4105232865 5747326011 6842054775 9578876685 12315698595 15964794475 17241978033 17424432827 20526164325 28736630055 47894383425 52273298481 61578492975 86209890165 87122164135 121971029789 143683150275 156819895443 261366492405 365913089367 431049450825 435610820675 470459686329 609855148945 784099477215 1097739268101 1306832462025 1829565446835 2352298431645 3049275744725 3293217804303 3920497386075 5488696340505 9147827234175 11761492158225 16466089021515 27443481702525 82330445107575