Search a number
-
+
9241731072 = 21333747127
BaseRepresentation
bin10001001101101100…
…11010000000000000
3212212001221120201000
420212312122000000
5122411340343242
64125014212000
7445006263240
oct104666320000
925761846630
109241731072
113a12797382
12195b054000
13b43889032
1463957bb20
1539152aa4c
hex226d9a000

9241731072 has 448 divisors, whose sum is σ = 32210288640. Its totient is φ = 2563964928.

The previous prime is 9241731041. The next prime is 9241731073. The reversal of 9241731072 is 2701371429.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9241731073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72769473 + ... + 72769599.

Almost surely, 29241731072 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 9241731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16105144320).

9241731072 is an abundant number, since it is smaller than the sum of its proper divisors (22968557568).

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

9241731072 is a wasteful number, since it uses less digits than its factorization.

9241731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9241731072 is about 96133.9225871908. The cubic root of 9241731072 is about 2098.5425315606.

The spelling of 9241731072 in words is "nine billion, two hundred forty-one million, seven hundred thirty-one thousand, seventy-two".