Search a number
-
+
20950493184 = 211341721923
BaseRepresentation
bin10011100000101111…
…110010100000000000
32000002002001022210000
4103200233302200000
5320401311240214
613342521440000
71341113153025
oct234057624000
960062038700
1020950493184
118981009685
124088340000
131c8b5a003a
14102a62754c
1582941d809
hex4e0bf2800

20950493184 has 720 divisors, whose sum is σ = 73016143200. Its totient is φ = 5956042752.

The previous prime is 20950493149. The next prime is 20950493209. The reversal of 20950493184 is 48139405902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 910890997 + ... + 910891019.

It is an arithmetic number, because the mean of its divisors is an integer number (101411310).

Almost surely, 220950493184 is an apocalyptic number.

20950493184 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 20950493184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36508071600).

20950493184 is an abundant number, since it is smaller than the sum of its proper divisors (52065650016).

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

20950493184 is a wasteful number, since it uses less digits than its factorization.

20950493184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20950493184 in words is "twenty billion, nine hundred fifty million, four hundred ninety-three thousand, one hundred eighty-four".