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82676006264 = 23233123071523
BaseRepresentation
bin100110011111111011…
…1111011110101111000
321220101211111021111002
41030333313323311320
52323310024200024
6101551505424132
75654534313065
oct1147767736570
9256354437432
1082676006264
11320764a5205
121403403b048
137a4766a387
144004323c6c
15223d3b46ae
hex133fdfbd78

82676006264 has 96 divisors (see below), whose sum is σ = 167798252160. Its totient is φ = 38115506880.

The previous prime is 82676006221. The next prime is 82676006311. The reversal of 82676006264 is 46260067628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54284207 + ... + 54285729.

It is an arithmetic number, because the mean of its divisors is an integer number (1747898460).

Almost surely, 282676006264 is an apocalyptic number.

It is an amenable number.

82676006264 is an abundant number, since it is smaller than the sum of its proper divisors (85122245896).

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

82676006264 is a wasteful number, since it uses less digits than its factorization.

82676006264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 82676006264 in words is "eighty-two billion, six hundred seventy-six million, six thousand, two hundred sixty-four".

Divisors: 1 2 4 8 23 31 46 62 92 124 184 248 307 614 713 961 1228 1426 1523 1922 2456 2852 3046 3844 5704 6092 7061 7688 9517 12184 14122 19034 22103 28244 35029 38068 44206 47213 56488 70058 76136 88412 94426 140116 176824 188852 218891 280232 295027 377704 437782 467561 590054 875564 935122 1085899 1180108 1463603 1751128 1870244 2171798 2360216 2927206 3740488 4343596 5854412 6785621 8687192 10753903 11708824 13571242 14494391 21507806 27142484 28988782 33662869 43015612 54284968 57977564 67325738 86031224 115955128 134651476 269302952 333370993 449326121 666741986 898652242 1333483972 1797304484 2666967944 3594608968 10334500783 20669001566 41338003132 82676006264