Search a number
-
+
48745774080 = 210345117539
BaseRepresentation
bin101101011001011110…
…010111110000000000
311122211011202220010000
4231121132113300000
51244312404232310
634220555040000
73343652146263
oct553136276000
9148734686100
1048745774080
111974479a603
129544a40000
13479ac70803
142505d26cda
1514046e74c0
hexb59797c00

48745774080 has 220 divisors, whose sum is σ = 174678779880. Its totient is φ = 12998762496.

The previous prime is 48745774057. The next prime is 48745774081. The reversal of 48745774080 is 8047754784.

48745774080 is a `hidden beast` number, since 48 + 7 + 457 + 74 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48745774081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 355951 + ... + 473489.

It is an arithmetic number, because the mean of its divisors is an integer number (793994454).

Almost surely, 248745774080 is an apocalyptic number.

48745774080 is a gapful number since it is divisible by the number (40) 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 48745774080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87339389940).

48745774080 is an abundant number, since it is smaller than the sum of its proper divisors (125933005800).

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

48745774080 is a wasteful number, since it uses less digits than its factorization.

48745774080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117576 (or 117549 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 48745774080 in words is "forty-eight billion, seven hundred forty-five million, seven hundred seventy-four thousand, eighty".