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5036487456 = 25371113173083
BaseRepresentation
bin1001011000011001…
…01011001100100000
3111000000001001221110
410230030223030200
540303320044311
62151433223320
7235544302620
oct45414531440
914000031843
105036487456
112154a69630
12b86861b40
136235956c0
1435ac7c880
151e72628a6
hex12c32b320

5036487456 has 384 divisors, whose sum is σ = 18801248256. Its totient is φ = 1136148480.

The previous prime is 5036487409. The next prime is 5036487457. The reversal of 5036487456 is 6547846305.

It is a super-3 number, since 3×50364874563 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5036487457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1632091 + ... + 1635173.

It is an arithmetic number, because the mean of its divisors is an integer number (48961584).

Almost surely, 25036487456 is an apocalyptic number.

5036487456 is a gapful number since it is divisible by the number (56) 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 5036487456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400624128).

5036487456 is an abundant number, since it is smaller than the sum of its proper divisors (13764760800).

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

5036487456 is a wasteful number, since it uses less digits than its factorization.

5036487456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The square root of 5036487456 is about 70968.2144061692. The cubic root of 5036487456 is about 1714.1253809731.

The spelling of 5036487456 in words is "five billion, thirty-six million, four hundred eighty-seven thousand, four hundred fifty-six".