Search a number
-
+
5047090745760 = 2533571943320287
BaseRepresentation
bin100100101110001111000…
…0011010001000110100000
3122212111102102122212111000
41021130132003101012200
51130142420212331020
614422333530352000
71030432420332120
oct111343603210640
918774372585430
105047090745760
11167650616a868
126961b058b600
132a7c281a2c7b
141363cd972c80
158b44699a090
hex4971e0d11a0

5047090745760 has 768 divisors, whose sum is σ = 21301036646400. Its totient is φ = 1090326085632.

The previous prime is 5047090745737. The next prime is 5047090745773. The reversal of 5047090745760 is 675470907405.

5047090745760 is a `hidden beast` number, since 5 + 0 + 47 + 0 + 90 + 7 + 457 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5047090745697 and 5047090745706.

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 127 ways as a sum of consecutive naturals, for example, 248774337 + ... + 248794623.

It is an arithmetic number, because the mean of its divisors is an integer number (27735724800).

Almost surely, 25047090745760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5047090745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10650518323200).

5047090745760 is an abundant number, since it is smaller than the sum of its proper divisors (16253945900640).

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

5047090745760 is a wasteful number, since it uses less digits than its factorization.

5047090745760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20770 (or 20756 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 5047090745760 in words is "five trillion, forty-seven billion, ninety million, seven hundred forty-five thousand, seven hundred sixty".