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1828049279720 = 235293465733493
BaseRepresentation
bin11010100110100000001…
…110100101101011101000
320110202111220020012200112
4122212200032211223220
5214422321103422340
63515443320153452
7246033523332536
oct32464016455350
96422456205615
101828049279720
116452a91856a4
12256356008888
131034cc428541
1464699b09156
15328422a6065
hex1a9a03a5ae8

1828049279720 has 64 divisors (see below), whose sum is σ = 4128158275920. Its totient is φ = 728545849344.

The previous prime is 1828049279689. The next prime is 1828049279729. The reversal of 1828049279720 is 279729408281.

It can be written as a sum of positive squares in 8 ways, for example, as 1531401300004 + 296647979716 = 1237498^2 + 544654^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1828049279720.

It is not an unprimeable number, because it can be changed into a prime (1828049279729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54563294 + ... + 54596786.

Almost surely, 21828049279720 is an apocalyptic number.

1828049279720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828049279720 is an abundant number, since it is smaller than the sum of its proper divisors (2300108996200).

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

1828049279720 is a wasteful number, since it uses less digits than its factorization.

1828049279720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38454 (or 38450 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 59.

The spelling of 1828049279720 in words is "one trillion, eight hundred twenty-eight billion, forty-nine million, two hundred seventy-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 293 586 1172 1465 2344 2930 4657 5860 9314 11720 18628 23285 33493 37256 46570 66986 93140 133972 167465 186280 267944 334930 669860 1339720 1364501 2729002 5458004 6822505 9813449 10916008 13645010 19626898 27290020 39253796 49067245 54580040 78507592 98134490 155976901 196268980 311953802 392537960 623907604 779884505 1247815208 1559769010 3119538020 6239076040 45701231993 91402463986 182804927972 228506159965 365609855944 457012319930 914024639860 1828049279720