Search a number
-
+
9130243584 = 2937111719239
BaseRepresentation
bin10001000000011010…
…00111011000000000
3212120022011102121210
420200031013120000
5122144320243314
64105552450120
7442153534650
oct104015073000
925508142553
109130243584
11396586a160
121929849940
13b267528c7
1462883a360
15386857559
hex220347600

9130243584 has 640 divisors, whose sum is σ = 33940684800. Its totient is φ = 2105671680.

The previous prime is 9130243571. The next prime is 9130243589. The reversal of 9130243584 is 4853420319.

It is a super-2 number, since 2×91302435842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9130243589) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38201737 + ... + 38201975.

It is an arithmetic number, because the mean of its divisors is an integer number (53032320).

Almost surely, 29130243584 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 9130243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970342400).

9130243584 is an abundant number, since it is smaller than the sum of its proper divisors (24810441216).

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

9130243584 is a wasteful number, since it uses less digits than its factorization.

9130243584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 9130243584 is about 95552.3081039909. The cubic root of 9130243584 is about 2090.0697903330.

The spelling of 9130243584 in words is "nine billion, one hundred thirty million, two hundred forty-three thousand, five hundred eighty-four".