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82666178448 = 2437534642081
BaseRepresentation
bin100110011111101001…
…0011100011110010000
321220101010222222020220
41030333102130132100
52323300020202243
6101550515033040
75654354631420
oct1147722343620
9256333888226
1082666178448
11320709a2447
121403089b780
137a45608cb9
144002cc6480
15223c5c2783
hex133f49c790

82666178448 has 80 divisors (see below), whose sum is σ = 248667048576. Its totient is φ = 23173263360.

The previous prime is 82666178423. The next prime is 82666178459. The reversal of 82666178448 is 84487166628.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 82666178391 and 82666178400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2303233 + ... + 2338848.

Almost surely, 282666178448 is an apocalyptic number.

It is an amenable number.

82666178448 is an abundant number, since it is smaller than the sum of its proper divisors (166000870128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82666178448 is a wasteful number, since it uses less digits than its factorization.

82666178448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642152 (or 4642146 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 82666178448 in words is "eighty-two billion, six hundred sixty-six million, one hundred seventy-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 53 56 84 106 112 159 168 212 318 336 371 424 636 742 848 1113 1272 1484 2226 2544 2968 4452 5936 8904 17808 4642081 9284162 13926243 18568324 27852486 32494567 37136648 55704972 64989134 74273296 97483701 111409944 129978268 194967402 222819888 246030293 259956536 389934804 492060586 519913072 738090879 779869608 984121172 1476181758 1559739216 1722212051 1968242344 2952363516 3444424102 3936484688 5166636153 5904727032 6888848204 10333272306 11809454064 13777696408 20666544612 27555392816 41333089224 82666178448