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82823087997 = 32134117479883
BaseRepresentation
bin100110100100010100…
…1000000011101111101
321220210002020210200200
41031020221000131331
52324110202303442
6102014242114113
75661301426566
oct1151051003575
9256702223620
1082823087997
1132141523961
121407534b939
137a6bc86ba0
144019a8d16d
15224b26934c
hex1348a4077d

82823087997 has 48 divisors (see below), whose sum is σ = 132067161408. Its totient is φ = 49691439360.

The previous prime is 82823087993. The next prime is 82823088013. The reversal of 82823087997 is 79978032828.

It is a happy number.

It is not a de Polignac number, because 82823087997 - 22 = 82823087993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82823087993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8375418 + ... + 8385300.

It is an arithmetic number, because the mean of its divisors is an integer number (2751399196).

Almost surely, 282823087997 is an apocalyptic number.

It is an amenable number.

82823087997 is a deficient number, since it is larger than the sum of its proper divisors (49244073411).

82823087997 is a wasteful number, since it uses less digits than its factorization.

82823087997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 82823087997 in words is "eighty-two billion, eight hundred twenty-three million, eighty-seven thousand, nine hundred ninety-seven".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 1747 4797 5241 9883 15723 22711 29649 68133 71627 88947 128479 204399 214881 385437 405203 644643 931151 1156311 1215609 2793453 3646827 5267639 8380359 15802917 17265601 47408751 51796803 155390409 224452813 673358439 707889641 2020075317 2123668923 6371006769 9202565333 27607695999 82823087997