Search a number
-
+
20849028000 = 2535329181331
BaseRepresentation
bin10011011010101100…
…101110101110100000
31222211000010100201020
4103122230232232200
5320144322344000
613324455005440
71335441546123
oct233254565640
958730110636
1020849028000
118929807359
12405a369880
131c73565678
14101ad743ba
15820579ba0
hex4dab2eba0

20849028000 has 384 divisors, whose sum is σ = 71261648640. Its totient is φ = 5322240000.

The previous prime is 20849027999. The next prime is 20849028007. The reversal of 20849028000 is 82094802.

It is not an unprimeable number, because it can be changed into a prime (20849028007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62987835 + ... + 62988165.

It is an arithmetic number, because the mean of its divisors is an integer number (185577210).

Almost surely, 220849028000 is an apocalyptic number.

20849028000 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 20849028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35630824320).

20849028000 is an abundant number, since it is smaller than the sum of its proper divisors (50412620640).

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

20849028000 is a wasteful number, since it uses less digits than its factorization.

20849028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

It can be divided in two parts, 2084902 and 8000, that added together give a palindrome (2092902).

The spelling of 20849028000 in words is "twenty billion, eight hundred forty-nine million, twenty-eight thousand".