Search a number
-
+
48575324160000 = 2163454114
BaseRepresentation
bin10110000101101110100101…
…11100010000000000000000
320100222202101212012220210000
423002313102330100000000
522331324230441110000
6251151110145440000
713142310546532431
oct1302672274200000
9210882355186700
1048575324160000
1114528752150000
125546281940000
1321148307bc461
14bdd0b5b17488
15593850510000
hex2c2dd2f10000

48575324160000 has 2125 divisors, whose sum is σ = 199482014895955. Its totient is φ = 11775836160000.

The previous prime is 48575324159867. The next prime is 48575324160001. The reversal of 48575324160000 is 6142357584.

The square root of 48575324160000 is 6969600.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

48575324160000 is a `hidden beast` number, since 4 + 8 + 5 + 7 + 5 + 32 + 4 + 1 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3808305414144 + 44767018745856 = 1951488^2 + 6690816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48575324160001) by changing a digit.

It is a polite number, since it can be written in 124 ways as a sum of consecutive naturals, for example, 4415938559995 + ... + 4415938560005.

Almost surely, 248575324160000 is an apocalyptic number.

48575324160000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48575324160000 is the 6969600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48575324160000

48575324160000 is an abundant number, since it is smaller than the sum of its proper divisors (150906690735955).

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

48575324160000 is an frugal number, since it uses more digits than its factorization.

48575324160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 48575324160000 in words is "forty-eight trillion, five hundred seventy-five billion, three hundred twenty-four million, one hundred sixty thousand".