Search a number
-
+
889392430080 = 210325721135809
BaseRepresentation
bin11001111000100111110…
…10110111110000000000
310011000200021202200212100
430330103322313300000
5104032433430230310
61520325314230400
7121153654630500
oct14742372676000
93130607680770
10889392430080
11313209927590
12124453885400
1365b3bc5260b
14310926a9a00
1518206157ec0
hexcf13eb7c00

889392430080 has 792 divisors, whose sum is σ = 3910865390640. Its totient is φ = 184803655680.

The previous prime is 889392430079. The next prime is 889392430099. The reversal of 889392430080 is 80034293988.

It is a happy number.

889392430080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (792).

It is a junction number, because it is equal to n+sod(n) for n = 889392429999 and 889392430026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24819216 + ... + 24855024.

Almost surely, 2889392430080 is an apocalyptic number.

889392430080 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 889392430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955432695320).

889392430080 is an abundant number, since it is smaller than the sum of its proper divisors (3021472960560).

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

889392430080 is a wasteful number, since it uses less digits than its factorization.

889392430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35865 (or 35837 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 889392430080 in words is "eight hundred eighty-nine billion, three hundred ninety-two million, four hundred thirty thousand, eighty".