Search a number
-
+
20205950343936 = 283743531739533
BaseRepresentation
bin1001001100000100100000…
…11111100001101100000000
32122112200002102100222111220
410212002100133201230000
510122023241242001221
6110550252504435040
74153555200041250
oct446022037415400
978480072328456
1020205950343936
116490328223755
12232406ba78a80
13b3754a303c86
144dbd8a703960
1525090a8d50c6
hex1260907e1b00

20205950343936 has 576 divisors, whose sum is σ = 64452788370432. Its totient is φ = 5499919466496.

The previous prime is 20205950343827. The next prime is 20205950344033. The reversal of 20205950343936 is 63934305950202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2119574626 + ... + 2119584158.

It is an arithmetic number, because the mean of its divisors is an integer number (111897202032).

Almost surely, 220205950343936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20205950343936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32226394185216).

20205950343936 is an abundant number, since it is smaller than the sum of its proper divisors (44246838026496).

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

20205950343936 is a wasteful number, since it uses less digits than its factorization.

20205950343936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9828 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 51.

The spelling of 20205950343936 in words is "twenty trillion, two hundred five billion, nine hundred fifty million, three hundred forty-three thousand, nine hundred thirty-six".