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1125046248480 = 2532572112313421
BaseRepresentation
bin10000010111110001111…
…110110110010000100000
310222112221102000000112100
4100113301332312100200
5121413043314422410
62220501125330400
7144165460220100
oct20276176662040
93875842000470
101125046248480
113a4147306200
1216205b866a00
1382125a8544b
143c649a4d200
151e3e975b8c0
hex105f1fb6420

1125046248480 has 1296 divisors, whose sum is σ = 4936325029272. Its totient is φ = 232475443200.

The previous prime is 1125046248437. The next prime is 1125046248511. The reversal of 1125046248480 is 848426405211.

1125046248480 is a `hidden beast` number, since 1 + 1 + 2 + 50 + 46 + 2 + 484 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 167552686224 + 957493562256 = 409332^2 + 978516^2 .

It is a super-2 number, since 2×11250462484802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2672318670 + ... + 2672319090.

Almost surely, 21125046248480 is an apocalyptic number.

1125046248480 is a gapful number since it is divisible by the number (10) 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 1125046248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468162514636).

1125046248480 is an abundant number, since it is smaller than the sum of its proper divisors (3811278780792).

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

1125046248480 is a wasteful number, since it uses less digits than its factorization.

1125046248480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1125046248480 in words is "one trillion, one hundred twenty-five billion, forty-six million, two hundred forty-eight thousand, four hundred eighty".