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82483178900 = 22521748519517
BaseRepresentation
bin100110011010001100…
…0010110110110010100
321212220101122122001212
41030310120112312110
52322411143211100
6101520420440552
75650003311143
oct1146430266624
9255811578055
1082483178900
1131a87671151
1213b9b549158
137a16724a45
143dc688b75a
15222b4c5635
hex1334616d94

82483178900 has 36 divisors (see below), whose sum is σ = 189517237308. Its totient is φ = 31052490240.

The previous prime is 82483178873. The next prime is 82483178923. The reversal of 82483178900 is 987138428.

It can be written as a sum of positive squares in 6 ways, for example, as 10179195664 + 72303983236 = 100892^2 + 268894^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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 11 ways as a sum of consecutive naturals, for example, 24258059 + ... + 24261458.

It is an arithmetic number, because the mean of its divisors is an integer number (5264367703).

Almost surely, 282483178900 is an apocalyptic number.

It is an amenable number.

82483178900 is an abundant number, since it is smaller than the sum of its proper divisors (107034058408).

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

82483178900 is a wasteful number, since it uses less digits than its factorization.

82483178900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48519548 (or 48519541 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 82483178900 in words is "eighty-two billion, four hundred eighty-three million, one hundred seventy-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 48519517 97039034 194078068 242597585 485195170 824831789 970390340 1212987925 1649663578 2425975850 3299327156 4124158945 4851951700 8248317890 16496635780 20620794725 41241589450 82483178900