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82248586343 = 711297105769
BaseRepresentation
bin100110010011001100…
…1011101010001100111
321212022001020002120122
41030212121131101213
52321421114230333
6101441240352155
75641124306630
oct1144631352147
9255261202518
1082248586343
1131977201300
1213b34a7565b
1379a9c48291
143da3662887
152215ad6798
hex132665d467

82248586343 has 12 divisors (see below), whose sum is σ = 103320539280. Its totient is φ = 64089806880.

The previous prime is 82248586337. The next prime is 82248586349. The reversal of 82248586343 is 34368584228.

It is an interprime number because it is at equal distance from previous prime (82248586337) and next prime (82248586349).

It is not a de Polignac number, because 82248586343 - 24 = 82248586327 is a prime.

It is a super-2 number, since 2×822485863432 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82248586349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48552038 + ... + 48553731.

It is an arithmetic number, because the mean of its divisors is an integer number (8610044940).

Almost surely, 282248586343 is an apocalyptic number.

82248586343 is a deficient number, since it is larger than the sum of its proper divisors (21071952937).

82248586343 is a wasteful number, since it uses less digits than its factorization.

82248586343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97105798 (or 97105787 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 53.

The spelling of 82248586343 in words is "eighty-two billion, two hundred forty-eight million, five hundred eighty-six thousand, three hundred forty-three".

Divisors: 1 7 11 77 121 847 97105769 679740383 1068163459 7477144213 11749798049 82248586343