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20082203342640 = 24325611117409351
BaseRepresentation
bin1001001000011110000001…
…00110001011011100110000
32122002211200021112222112200
410210033000212023130300
510113011323023431030
6110413345321023200
74141614501633645
oct444170046133460
978084607488480
1020082203342640
1164428a627704a
122304095324b00
13b28988a4a79a
144d5dab8a3dcc
1524c5b69d1d60
hex1243c098b730

20082203342640 has 240 divisors, whose sum is σ = 68609887334976. Its totient is φ = 5262734592000.

The previous prime is 20082203342639. The next prime is 20082203342689. The reversal of 20082203342640 is 4624330228002.

20082203342640 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 2 + 2 + 0 + 3 + 3 + 4 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 20082203342595 and 20082203342604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48853965 + ... + 49263315.

Almost surely, 220082203342640 is an apocalyptic number.

20082203342640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20082203342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34304943667488).

20082203342640 is an abundant number, since it is smaller than the sum of its proper divisors (48527683992336).

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

20082203342640 is a wasteful number, since it uses less digits than its factorization.

20082203342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410548 (or 410539 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 20082203342640 in words is "twenty trillion, eighty-two billion, two hundred three million, three hundred forty-two thousand, six hundred forty".