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82944910719 = 3211887944563
BaseRepresentation
bin100110100111111100…
…1101110010101111111
321221002120111001001100
41031033321232111333
52324332344120334
6102034313144143
75664311052066
oct1151771562577
9257076431040
1082944910719
11321a42700a0
12140aa0bb053
137a8b29b638
14402bd211dd
152256ccec99
hex134fe6e57f

82944910719 has 24 divisors (see below), whose sum is σ = 130848561792. Its totient is φ = 50212915920.

The previous prime is 82944910693. The next prime is 82944910813. The reversal of 82944910719 is 91701944928.

82944910719 is a `hidden beast` number, since 82 + 9 + 4 + 491 + 0 + 71 + 9 = 666.

It is not a de Polignac number, because 82944910719 - 25 = 82944910687 is a prime.

It is a super-3 number, since 3×829449107193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82944910219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384469 + ... + 560094.

It is an arithmetic number, because the mean of its divisors is an integer number (5452023408).

Almost surely, 282944910719 is an apocalyptic number.

82944910719 is a deficient number, since it is larger than the sum of its proper divisors (47903651073).

82944910719 is a wasteful number, since it uses less digits than its factorization.

82944910719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945467 (or 945464 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 82944910719 in words is "eighty-two billion, nine hundred forty-four million, nine hundred ten thousand, seven hundred nineteen".

Divisors: 1 3 9 11 33 99 887 2661 7983 9757 29271 87813 944563 2833689 8501067 10390193 31170579 93511737 837827381 2513482143 7540446429 9216101191 27648303573 82944910719