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82508309793 = 327213107134503
BaseRepresentation
bin100110011010111100…
…0001110010100100001
321212222010221102011200
41030311320032110201
52322434111403133
6101523115231413
75650430030100
oct1146570162441
9255863842150
1082508309793
1131a9a876388
1213ba7a48569
137a1b9b36b0
143dc9d50037
15222d7db913
hex1335e0e521

82508309793 has 72 divisors (see below), whose sum is σ = 150697205568. Its totient is φ = 43113809088.

The previous prime is 82508309789. The next prime is 82508309833. The reversal of 82508309793 is 39790380528.

It is a happy number.

It is not a de Polignac number, because 82508309793 - 22 = 82508309789 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82508309783) 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 71 ways as a sum of consecutive naturals, for example, 546180 + ... + 680682.

It is an arithmetic number, because the mean of its divisors is an integer number (2093016744).

Almost surely, 282508309793 is an apocalyptic number.

It is an amenable number.

82508309793 is a deficient number, since it is larger than the sum of its proper divisors (68188895775).

82508309793 is a wasteful number, since it uses less digits than its factorization.

82508309793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134643 (or 134633 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 82508309793 in words is "eighty-two billion, five hundred eight million, three hundred nine thousand, seven hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 107 117 147 273 321 441 637 749 819 963 1391 1911 2247 4173 5243 5733 6741 9737 12519 15729 29211 47187 68159 87633 134503 204477 403509 613431 941521 1210527 1748539 2824563 5245617 6590647 8473689 12239773 14391821 15736851 19771941 36719319 43175463 59315823 85678411 100742747 110157957 129526389 187093673 257035233 302228241 561281019 705199229 771105699 906684723 1309655711 1683843057 2115597687 3928967133 6346793061 9167589977 11786901399 27502769931 82508309793