Search a number
-
+
9897180048 = 243572397163
BaseRepresentation
bin10010011011110101…
…01111101110010000
3221112202021211200000
421031322233232100
5130232134230143
64314030530000
7500155433220
oct111572575620
927482254600
109897180048
114219777948
121b02666900
13c195ca272
1469c63a080
153cdd4cbd3
hex24deafb90

9897180048 has 480 divisors, whose sum is σ = 34820438016. Its totient is φ = 2660511744.

The previous prime is 9897180043. The next prime is 9897180049. The reversal of 9897180048 is 8400817989.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9897179976 and 9897180003.

It is not an unprimeable number, because it can be changed into a prime (9897180043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60718815 + ... + 60718977.

Almost surely, 29897180048 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 9897180048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410219008).

9897180048 is an abundant number, since it is smaller than the sum of its proper divisors (24923257968).

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

9897180048 is a wasteful number, since it uses less digits than its factorization.

9897180048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 9897180048 is about 99484.5719094172. The cubic root of 9897180048 is about 2147.0252748035.

The spelling of 9897180048 in words is "nine billion, eight hundred ninety-seven million, one hundred eighty thousand, forty-eight".