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82760276028 = 223197229715241
BaseRepresentation
bin100110100010011100…
…1011001100000111100
321220121201001121212110
41031010321121200330
52323443112313103
6102004115534020
75656606511403
oct1150471314074
9256551047773
1082760276028
113210a022341
12140582ba310
137a5bc64041
1440115bc63a
1522459ad403
hex1344e5983c

82760276028 has 48 divisors (see below), whose sum is σ = 194184787104. Its totient is φ = 27432975360.

The previous prime is 82760275957. The next prime is 82760276051. The reversal of 82760276028 is 82067206728.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5422488 + ... + 5437728.

It is an arithmetic number, because the mean of its divisors is an integer number (4045516398).

Almost surely, 282760276028 is an apocalyptic number.

It is an amenable number.

82760276028 is an abundant number, since it is smaller than the sum of its proper divisors (111424511076).

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

82760276028 is a wasteful number, since it uses less digits than its factorization.

82760276028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17742 (or 17740 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 82760276028 in words is "eighty-two billion, seven hundred sixty million, two hundred seventy-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 197 394 591 788 1182 2297 2364 4594 6891 9188 13782 15241 27564 30482 45723 60964 91446 182892 452509 905018 1357527 1810036 2715054 3002477 5430108 6004954 9007431 12009908 18014862 35008577 36029724 70017154 105025731 140034308 210051462 420102924 6896689669 13793379338 20690069007 27586758676 41380138014 82760276028