Search a number
-
+
1125488359248 = 2431123715733359
BaseRepresentation
bin10000011000001100010…
…101010111011101010000
310222121002012220120111020
4100120030111113131100
5121420000004443443
62221013041315440
7144212436130551
oct20301425273520
93877065816436
101125488359248
113a4353923600
12162163935b80
138219654c256
143c68c656328
151e42348c583
hex1060c557750

1125488359248 has 240 divisors, whose sum is σ = 3303239412480. Its totient is φ = 329715809280.

The previous prime is 1125488359213. The next prime is 1125488359271. The reversal of 1125488359248 is 8429538845211.

It is a junction number, because it is equal to n+sod(n) for n = 1125488359191 and 1125488359200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 33721993 + ... + 33755351.

It is an arithmetic number, because the mean of its divisors is an integer number (13763497552).

Almost surely, 21125488359248 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 1125488359248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651619706240).

1125488359248 is an abundant number, since it is smaller than the sum of its proper divisors (2177751053232).

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

1125488359248 is a wasteful number, since it uses less digits than its factorization.

1125488359248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33586 (or 33569 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 60.

The spelling of 1125488359248 in words is "one trillion, one hundred twenty-five billion, four hundred eighty-eight million, three hundred fifty-nine thousand, two hundred forty-eight".