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82660248828 = 223219120848317
BaseRepresentation
bin100110011111011101…
…1110100110011111100
321220100201211201100100
41030332323310303330
52323242010430303
6101550144001100
75654253344043
oct1147673646374
9256321751310
1082660248828
1132068612433
121402a900190
137a44311051
1440021c155a
15223bd008a3
hex133eef4cfc

82660248828 has 36 divisors (see below), whose sum is σ = 219943938760. Its totient is φ = 26103236256.

The previous prime is 82660248821. The next prime is 82660248829. The reversal of 82660248828 is 82884206628.

It is a happy number.

82660248828 is a `hidden beast` number, since 8 + 2 + 6 + 602 + 4 + 8 + 8 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82660248821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60423475 + ... + 60424842.

Almost surely, 282660248828 is an apocalyptic number.

It is an amenable number.

82660248828 is an abundant number, since it is smaller than the sum of its proper divisors (137283689932).

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

82660248828 is a wasteful number, since it uses less digits than its factorization.

82660248828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120848346 (or 120848341 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 82660248828 in words is "eighty-two billion, six hundred sixty million, two hundred forty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 120848317 241696634 362544951 483393268 725089902 1087634853 1450179804 2175269706 2296118023 4350539412 4592236046 6888354069 9184472092 13776708138 20665062207 27553416276 41330124414 82660248828