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20073713403744 = 253271113192192883
BaseRepresentation
bin1001001000001110001101…
…00011101000011101100000
32122002000202121020101211100
410210013012203220131200
510112341431112404434
6110405423040114400
74141164221432340
oct444070643503540
978060677211740
1020073713403744
11643a239994320
122302506005a00
13b27c34b65bc0
144d5804102d20
1524c26b4a9699
hex1241c68e8760

20073713403744 has 864 divisors, whose sum is σ = 80891772159744. Its totient is φ = 4559545313280.

The previous prime is 20073713403703. The next prime is 20073713403791. The reversal of 20073713403744 is 44730431737002.

20073713403744 is a `hidden beast` number, since 200 + 7 + 3 + 71 + 3 + 4 + 0 + 374 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20073713403744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 103975527 + ... + 104168409.

It is an arithmetic number, because the mean of its divisors is an integer number (93624736296).

Almost surely, 220073713403744 is an apocalyptic number.

20073713403744 is a gapful number since it is divisible by the number (24) 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 20073713403744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40445886079872).

20073713403744 is an abundant number, since it is smaller than the sum of its proper divisors (60818058756000).

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

20073713403744 is a wasteful number, since it uses less digits than its factorization.

20073713403744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192968 (or 192938 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 20073713403744 in words is "twenty trillion, seventy-three billion, seven hundred thirteen million, four hundred three thousand, seven hundred forty-four".