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82001936844 = 2233797952669
BaseRepresentation
bin100110001011110110…
…0100100000111001100
321211122212010000002000
41030113230210013030
52320414443434334
6101400550032300
75632040651112
oct1142754440714
9254585100060
1082001936844
113185aa56943
1213a86348690
13796ab09929
143d7c9b9ab2
1521ee115299
hex1317b241cc

82001936844 has 48 divisors (see below), whose sum is σ = 212864584800. Its totient is φ = 27299654208.

The previous prime is 82001936837. The next prime is 82001936851. The reversal of 82001936844 is 44863910028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82001936837) and next prime (82001936851).

It is a self number, because there is not a number n which added to its sum of digits gives 82001936844.

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, 390259 + ... + 562410.

It is an arithmetic number, because the mean of its divisors is an integer number (4434678850).

Almost surely, 282001936844 is an apocalyptic number.

It is an amenable number.

82001936844 is an abundant number, since it is smaller than the sum of its proper divisors (130862647956).

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

82001936844 is a wasteful number, since it uses less digits than its factorization.

82001936844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953479 (or 953471 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 82001936844 in words is "eighty-two billion, one million, nine hundred thirty-six thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 797 1594 2391 3188 4782 7173 9564 14346 21519 28692 43038 86076 952669 1905338 2858007 3810676 5716014 8574021 11432028 17148042 25722063 34296084 51444126 102888252 759277193 1518554386 2277831579 3037108772 4555663158 6833494737 9111326316 13666989474 20500484211 27333978948 41000968422 82001936844