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82142303463 = 3211829720237
BaseRepresentation
bin100110010000000010…
…0000001010011100111
321212000122020100212200
41030200010001103213
52321211412202323
6101422522345543
75635364026203
oct1144004012347
9255018210780
1082142303463
1131922209410
1213b0535b2b3
137990c14abc
143d934b7b03
15220b5e0443
hex13201014e7

82142303463 has 12 divisors (see below), whose sum is σ = 129436357128. Its totient is φ = 49783214160.

The previous prime is 82142303459. The next prime is 82142303473. The reversal of 82142303463 is 36430324128.

82142303463 is a `hidden beast` number, since 82 + 1 + 4 + 230 + 346 + 3 = 666.

It is not a de Polignac number, because 82142303463 - 22 = 82142303459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82142303473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 414860020 + ... + 414860217.

It is an arithmetic number, because the mean of its divisors is an integer number (10786363094).

Almost surely, 282142303463 is an apocalyptic number.

82142303463 is a deficient number, since it is larger than the sum of its proper divisors (47294053665).

82142303463 is a wasteful number, since it uses less digits than its factorization.

82142303463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829720254 (or 829720251 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 82142303463 in words is "eighty-two billion, one hundred forty-two million, three hundred three thousand, four hundred sixty-three".

Divisors: 1 3 9 11 33 99 829720237 2489160711 7467482133 9126922607 27380767821 82142303463