Search a number
-
+
47300064000 = 283537591193
BaseRepresentation
bin101100000011010011…
…011011001100000000
311112002102102012201020
4230003103123030000
51233332304022000
633421312305440
73263065624140
oct540323331400
9145072365636
1047300064000
1119072720192
129200842280
1345ca5a9467
142409d16920
15136c823ba0
hexb034db300

47300064000 has 576 divisors, whose sum is σ = 182747335680. Its totient is φ = 10619289600.

The previous prime is 47300063953. The next prime is 47300064043. The reversal of 47300064000 is 46000374.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39647404 + ... + 39648596.

It is an arithmetic number, because the mean of its divisors is an integer number (317269680).

Almost surely, 247300064000 is an apocalyptic number.

47300064000 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 47300064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91373667840).

47300064000 is an abundant number, since it is smaller than the sum of its proper divisors (135447271680).

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

47300064000 is a wasteful number, since it uses less digits than its factorization.

47300064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

Adding to 47300064000 its reverse (46000374), we get a palindrome (47346064374).

The spelling of 47300064000 in words is "forty-seven billion, three hundred million, sixty-four thousand".