Search a number
-
+
9189990000 = 243354101337
BaseRepresentation
bin10001000111100010…
…00001111001110000
3212201110120212022000
420203301001321300
5122310114140000
64115525214000
7443510424522
oct104361017160
925643525260
109189990000
113996567564
121945861300
13b35c41309
1463274da12
1538bc0a000
hex223c41e70

9189990000 has 400 divisors, whose sum is σ = 33387937440. Its totient is φ = 2419200000.

The previous prime is 9189989927. The next prime is 9189990001. The reversal of 9189990000 is 999819.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9189990001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27269832 + ... + 27270168.

Almost surely, 29189990000 is an apocalyptic number.

9189990000 is a gapful number since it is divisible by the number (90) 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 9189990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16693968720).

9189990000 is an abundant number, since it is smaller than the sum of its proper divisors (24197947440).

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

9189990000 is a wasteful number, since it uses less digits than its factorization.

9189990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 9189990000 is about 95864.4355326833. The cubic root of 9189990000 is about 2094.6188760317.

The spelling of 9189990000 in words is "nine billion, one hundred eighty-nine million, nine hundred ninety thousand".