Search a number
-
+
882320028000 = 25353364320183
BaseRepresentation
bin11001101011011100101…
…11110011000101100000
310010100102101210110002120
430311232113303011200
5103423442411344000
61513155432144240
7120513466331445
oct14655627630540
93110371713076
10882320028000
1131020a721194
12122bbb238080
1365282949708
14309c12a39cc
1517e402db6a0
hexcd6e5f3160

882320028000 has 192 divisors, whose sum is σ = 2891417098752. Its totient is φ = 235209100800.

The previous prime is 882320027983. The next prime is 882320028019. The reversal of 882320028000 is 820023288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43705909 + ... + 43726091.

It is an arithmetic number, because the mean of its divisors is an integer number (15059464056).

Almost surely, 2882320028000 is an apocalyptic number.

882320028000 is a gapful number since it is divisible by the number (80) 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 882320028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445708549376).

882320028000 is an abundant number, since it is smaller than the sum of its proper divisors (2009097070752).

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

882320028000 is a wasteful number, since it uses less digits than its factorization.

882320028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23854 (or 23836 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 882320028000 in words is "eight hundred eighty-two billion, three hundred twenty million, twenty-eight thousand".