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82323125407185 = 351313130710497299
BaseRepresentation
bin10010101101111101011000…
…101001011000110111010001
3101210111000101011011022020120
4102231331120221120313101
541242240230101012220
6451030415520300453
723224435535222205
oct2255753051306721
9353430334138216
1082323125407185
112425a050150993
129296934171729
1336c2064282480
14164866399ab05
1597b630407a40
hex4adf58a58dd1

82323125407185 has 64 divisors (see below), whose sum is σ = 143397484876800. Its totient is φ = 40087921386240.

The previous prime is 82323125407183. The next prime is 82323125407223. The reversal of 82323125407185 is 58170452132328.

It is not a de Polignac number, because 82323125407185 - 21 = 82323125407183 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82323125407183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2593666 + ... + 13090964.

It is an arithmetic number, because the mean of its divisors is an integer number (2240585701200).

Almost surely, 282323125407185 is an apocalyptic number.

It is an amenable number.

82323125407185 is a deficient number, since it is larger than the sum of its proper divisors (61074359469615).

82323125407185 is a wasteful number, since it uses less digits than its factorization.

82323125407185 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497758.

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 82323125407185 in words is "eighty-two trillion, three hundred twenty-three billion, one hundred twenty-five million, four hundred seven thousand, one hundred eighty-five".

Divisors: 1 3 5 13 15 39 65 131 195 307 393 655 921 1535 1703 1965 3991 4605 5109 8515 11973 19955 25545 40217 59865 120651 201085 522821 603255 1568463 2614105 7842315 10497299 31491897 52486495 136464887 157459485 409394661 682324435 1375146169 2046973305 3222670793 4125438507 6875730845 9668012379 16113353965 17876900197 20627192535 41894720309 48340061895 53630700591 89384500985 125684160927 209473601545 268153502955 422169873883 628420804635 1266509621649 2110849369415 5488208360479 6332548108245 16464625081437 27441041802395 82323125407185