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82836000760 = 23513731508303
BaseRepresentation
bin100110100100101101…
…0010000111111111000
321220210222112211200011
41031021122100333320
52324122004011020
6102015422551304
75661516250252
oct1151132207770
9256728484604
1082836000760
1132148843467
1214079738534
137a71858486
14401b690cd2
15224c46a35a
hex1349690ff8

82836000760 has 32 divisors (see below), whose sum is σ = 186516872640. Its totient is φ = 33110245504.

The previous prime is 82836000721. The next prime is 82836000791. The reversal of 82836000760 is 6700063828.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 699232 + ... + 809071.

It is an arithmetic number, because the mean of its divisors is an integer number (5828652270).

Almost surely, 282836000760 is an apocalyptic number.

It is an amenable number.

82836000760 is an abundant number, since it is smaller than the sum of its proper divisors (103680871880).

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

82836000760 is a wasteful number, since it uses less digits than its factorization.

82836000760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509687 (or 1509683 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 82836000760 in words is "eighty-two billion, eight hundred thirty-six million, seven hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 1373 2746 5492 6865 10984 13730 27460 54920 1508303 3016606 6033212 7541515 12066424 15083030 30166060 60332120 2070900019 4141800038 8283600076 10354500095 16567200152 20709000190 41418000380 82836000760