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20640286440 = 2332557334129
BaseRepresentation
bin10011001110010000…
…011100011011101000
31222021110100012010100
4103032100130123220
5314232403131230
613252040545400
71330325353134
oct231620343350
958243305110
1020640286440
1188319a3774
124000482260
131c3c23a557
14ddb3583c4
1580c095660
hex4ce41c6e8

20640286440 has 48 divisors (see below), whose sum is σ = 67080932100. Its totient is φ = 5504076288.

The previous prime is 20640286439. The next prime is 20640286453. The reversal of 20640286440 is 4468204602.

It is a happy number.

20640286440 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 0 + 2 + 8 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20116883556 + 523402884 = 141834^2 + 22878^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20640286395 and 20640286404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28666705 + ... + 28667424.

Almost surely, 220640286440 is an apocalyptic number.

20640286440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20640286440 is an abundant number, since it is smaller than the sum of its proper divisors (46440645660).

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

20640286440 is a wasteful number, since it uses less digits than its factorization.

20640286440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57334146 (or 57334139 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 20640286440 in words is "twenty billion, six hundred forty million, two hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 57334129 114668258 172002387 229336516 286670645 344004774 458673032 516007161 573341290 688009548 860011935 1032014322 1146682580 1376019096 1720023870 2064028644 2293365160 2580035805 3440047740 4128057288 5160071610 6880095480 10320143220 20640286440