Search a number
-
+
48000594096 = 243271322312251
BaseRepresentation
bin101100101101000011…
…101111000010110000
311120220020120211100100
4230231003233002300
51241301123002341
634015015152400
73316333214010
oct545503570260
9146806524310
1048000594096
11193a20a1884
129377375700
1346ac772c00
142474d8bc40
1513ae09d3b6
hexb2d0ef0b0

48000594096 has 360 divisors, whose sum is σ = 173485967616. Its totient is φ = 12108096000.

The previous prime is 48000594067. The next prime is 48000594151. The reversal of 48000594096 is 69049500084.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3911971 + ... + 3924221.

Almost surely, 248000594096 is an apocalyptic number.

48000594096 is a gapful number since it is divisible by the number (46) 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 48000594096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86742983808).

48000594096 is an abundant number, since it is smaller than the sum of its proper divisors (125485373520).

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

48000594096 is a wasteful number, since it uses less digits than its factorization.

48000594096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12321 (or 12299 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 48000594096 in words is "forty-eight billion, five hundred ninety-four thousand, ninety-six".