Search a number
-
+
5480833774500 = 223653721931521
BaseRepresentation
bin100111111000001101100…
…1001100111001110100100
3201101221222201200201000000
41033300123021213032210
51204244221421241000
615353505453021300
71103656112260200
oct117603311471644
921357881621000
105480833774500
111823454865077
12746280184830
13309ac04b42b6
1414d3b9321b00
15978808d3000
hex4fc1b2673a4

5480833774500 has 2016 divisors, whose sum is σ = 22728361743360. Its totient is φ = 1146337920000.

The previous prime is 5480833774459. The next prime is 5480833774501. The reversal of 5480833774500 is 54773380845.

It is a happy number.

5480833774500 is a `hidden beast` number, since 5 + 4 + 80 + 83 + 37 + 7 + 450 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5480833774501) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 10519834240 + ... + 10519834760.

It is an arithmetic number, because the mean of its divisors is an integer number (11273988960).

Almost surely, 25480833774500 is an apocalyptic number.

5480833774500 is a gapful number since it is divisible by the number (50) 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 5480833774500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11364180871680).

5480833774500 is an abundant number, since it is smaller than the sum of its proper divisors (17247527968860).

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

5480833774500 is a wasteful number, since it uses less digits than its factorization.

5480833774500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5480833774500 in words is "five trillion, four hundred eighty billion, eight hundred thirty-three million, seven hundred seventy-four thousand, five hundred".