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82378764981 = 3230113039919
BaseRepresentation
bin100110010111000101…
…0000011001010110101
321212122010011212002200
41030232022003022311
52322202430434411
6101502210455113
75644264643322
oct1145612031265
9255563155080
1082378764981
1131a33735457
1213b70594499
1379cabc7166
143db6a6bb49
15222224ce56
hex132e2832b5

82378764981 has 12 divisors (see below), whose sum is σ = 119031107520. Its totient is φ = 54900919080.

The previous prime is 82378764971. The next prime is 82378765201. The reversal of 82378764981 is 18946787328.

82378764981 is a `hidden beast` number, since 8 + 2 + 3 + 78 + 76 + 498 + 1 = 666.

It is not a de Polignac number, because 82378764981 - 215 = 82378732213 is a prime.

It is a super-2 number, since 2×823787649812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82378764931) 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 11 ways as a sum of consecutive naturals, for example, 1492861 + ... + 1547058.

It is an arithmetic number, because the mean of its divisors is an integer number (9919258960).

Almost surely, 282378764981 is an apocalyptic number.

It is an amenable number.

82378764981 is a deficient number, since it is larger than the sum of its proper divisors (36652342539).

82378764981 is a wasteful number, since it uses less digits than its factorization.

82378764981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042936 (or 3042933 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 82378764981 in words is "eighty-two billion, three hundred seventy-eight million, seven hundred sixty-four thousand, nine hundred eighty-one".

Divisors: 1 3 9 3011 9033 27099 3039919 9119757 27359271 9153196109 27459588327 82378764981