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5053541040 = 2432517894639
BaseRepresentation
bin1001011010011011…
…01110101010110000
3111001012010111001200
410231031232222300
540322201303130
62153242531200
7236142250542
oct45515565260
914035114050
105053541040
1121636571a9
12b90506b00
13626c86992
1435d23b692
151e89d0760
hex12d36eab0

5053541040 has 240 divisors, whose sum is σ = 18175622400. Its totient is φ = 1253818368.

The previous prime is 5053541039. The next prime is 5053541069. The reversal of 5053541040 is 401453505.

5053541040 = T8585 + T8586 + ... + T8719.

5053541040 is a `hidden beast` number, since 50 + 535 + 41 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 5053540995 and 5053541013.

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, 1087041 + ... + 1091679.

It is an arithmetic number, because the mean of its divisors is an integer number (75731760).

Almost surely, 25053541040 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 5053541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087811200).

5053541040 is an abundant number, since it is smaller than the sum of its proper divisors (13122081360).

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

5053541040 is a wasteful number, since it uses less digits than its factorization.

5053541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4755 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5053541040 is about 71088.2623222709. The cubic root of 5053541040 is about 1716.0578818887.

Adding to 5053541040 its reverse (401453505), we get a palindrome (5454994545).

The spelling of 5053541040 in words is "five billion, fifty-three million, five hundred forty-one thousand, forty".