Search a number
-
+
5143491120768 = 2737111343311189
BaseRepresentation
bin100101011011000111111…
…1101100000111010000000
3200012201020201222022112120
41022312033331200322000
51133232332211331033
614534515345124240
71040414335110120
oct112661775407200
920181221868476
105143491120768
111703384713380
126b0a14929680
132b404c0041a0
1413ad36900c80
158dbd9b991b3
hex4ad8ff60e80

5143491120768 has 512 divisors, whose sum is σ = 18770582476800. Its totient is φ = 1204521615360.

The previous prime is 5143491120743. The next prime is 5143491120851. The reversal of 5143491120768 is 8670211943415.

It is a self number, because there is not a number n which added to its sum of digits gives 5143491120768.

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, 16372918 + ... + 16684106.

It is an arithmetic number, because the mean of its divisors is an integer number (36661293900).

It is a 1-persistent number, because it is pandigital, but 2⋅5143491120768 = 10286982241536 is not.

Almost surely, 25143491120768 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 5143491120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9385291238400).

5143491120768 is an abundant number, since it is smaller than the sum of its proper divisors (13627091356032).

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

5143491120768 is a wasteful number, since it uses less digits than its factorization.

5143491120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311280 (or 311268 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 5143491120768 in words is "five trillion, one hundred forty-three billion, four hundred ninety-one million, one hundred twenty thousand, seven hundred sixty-eight".