Search a number
-
+
20038738423340 = 225713172833376791
BaseRepresentation
bin1001000111001101000011…
…11000101010111000101100
32121221200111010122022022202
410203212201320222320230
510111303314014021330
6110341400325001032
74135515422132420
oct443464170527054
977850433568282
1020038738423340
11642642148193a
1222b7784b53178
13b2484cb92320
144d3c4706ab80
1524b3c0c1c445
hex1239a1e2ae2c

20038738423340 has 384 divisors, whose sum is σ = 55204252766208. Its totient is φ = 5929261793280.

The previous prime is 20038738423321. The next prime is 20038738423351. The reversal of 20038738423340 is 4332483783002.

It is a super-5 number, since 5×200387384233405 (a number of 68 digits) contains 55555 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2950775345 + ... + 2950782135.

It is an arithmetic number, because the mean of its divisors is an integer number (143761074912).

Almost surely, 220038738423340 is an apocalyptic number.

20038738423340 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 20038738423340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602126383104).

20038738423340 is an abundant number, since it is smaller than the sum of its proper divisors (35165514342868).

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

20038738423340 is a wasteful number, since it uses less digits than its factorization.

20038738423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7457 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 47.

The spelling of 20038738423340 in words is "twenty trillion, thirty-eight billion, seven hundred thirty-eight million, four hundred twenty-three thousand, three hundred forty".