Search a number
-
+
989658120192 = 2153710313963
BaseRepresentation
bin11100110011011000011…
…10001000000000000000
310111121110222100111102120
432121230032020000000
5112203304434321232
62034350452044240
7131333436136650
oct16315416100000
93447428314376
10989658120192
11351791232595
1213b976603680
137242a809231
1435c84b2c360
151ab2387592c
hexe66c388000

989658120192 has 256 divisors, whose sum is σ = 3045555102720. Its totient is φ = 279994171392.

The previous prime is 989658120181. The next prime is 989658120193. The reversal of 989658120192 is 291021856989.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (989658120193) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 70870203 + ... + 70884165.

It is an arithmetic number, because the mean of its divisors is an integer number (11896699620).

Almost surely, 2989658120192 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 989658120192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522777551360).

989658120192 is an abundant number, since it is smaller than the sum of its proper divisors (2055896982528).

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

989658120192 is a wasteful number, since it uses less digits than its factorization.

989658120192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 60.

The spelling of 989658120192 in words is "nine hundred eighty-nine billion, six hundred fifty-eight million, one hundred twenty thousand, one hundred ninety-two".