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5350023648 = 2533193110513
BaseRepresentation
bin1001111101110001…
…01110000111100000
3111210212000100202000
410332320232013200
541424101224043
62242513324000
7246402310404
oct47670560740
914725010660
105350023648
1122a5a48a52
121053866600
13673522788
1438a777104
15214a472d3
hex13ee2e1e0

5350023648 has 192 divisors, whose sum is σ = 16956979200. Its totient is φ = 1634826240.

The previous prime is 5350023643. The next prime is 5350023673. The reversal of 5350023648 is 8463200535.

It is a happy number.

5350023648 is a `hidden beast` number, since 5 + 3 + 5 + 0 + 0 + 2 + 3 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5350023643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 503640 + ... + 514152.

It is an arithmetic number, because the mean of its divisors is an integer number (88317600).

Almost surely, 25350023648 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 5350023648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478489600).

5350023648 is an abundant number, since it is smaller than the sum of its proper divisors (11606955552).

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

5350023648 is a wasteful number, since it uses less digits than its factorization.

5350023648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10582 (or 10568 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5350023648 is about 73143.8558458604. The cubic root of 5350023648 is about 1748.9815732019.

The spelling of 5350023648 in words is "five billion, three hundred fifty million, twenty-three thousand, six hundred forty-eight".