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82319816943 = 3371358757077
BaseRepresentation
bin100110010101010100…
…1001011100011101111
321212111000020222121000
41030222221023203233
52322042333120233
6101452303211343
75642650620210
oct1145251134357
9255430228530
1082319816943
1131a03432971
1213b548a6b53
1379bb927c70
143daccc5407
15221bea6d13
hex132aa4b8ef

82319816943 has 64 divisors (see below), whose sum is σ = 150357150720. Its totient is φ = 43346710656.

The previous prime is 82319816939. The next prime is 82319816981. The reversal of 82319816943 is 34961891328.

It is not a de Polignac number, because 82319816943 - 22 = 82319816939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82319816943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82319812943) 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, 1413721 + ... + 1470797.

It is an arithmetic number, because the mean of its divisors is an integer number (2349330480).

Almost surely, 282319816943 is an apocalyptic number.

82319816943 is a deficient number, since it is larger than the sum of its proper divisors (68037333777).

82319816943 is a wasteful number, since it uses less digits than its factorization.

82319816943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57693 (or 57687 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 82319816943 in words is "eighty-two billion, three hundred nineteen million, eight hundred sixteen thousand, nine hundred forty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 587 819 1761 2457 4109 5283 7631 12327 15849 22893 36981 53417 57077 68679 110943 160251 171231 206037 399539 480753 513693 742001 1198617 1442259 1541079 2226003 3595851 5194007 6678009 10787553 15582021 20034027 33504199 46746063 100512597 140238189 234529393 301537791 435554587 703588179 904613373 1306663761 2110764537 3048882109 3919991283 6332293611 9146646327 11759973849 27439938981 82319816943