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5235548049424 = 2472112172192232
BaseRepresentation
bin100110000101111111011…
…1110110101000000010000
3200112111212100022211022201
41030023332332311000100
51141234400300040144
615045102204412544
71050153522101200
oct114137676650020
920474770284281
105235548049424
111739424424400
12706826547154
132bc9300137c4
1414158aa76400
15912c68d11d4
hex4c2fefb5010

5235548049424 has 1215 divisors, whose sum is σ = 15201157995261. Its totient is φ = 1739712522240.

The previous prime is 5235548049409. The next prime is 5235548049427. The reversal of 5235548049424 is 4249408455325.

It is a happy number.

The square root of 5235548049424 is 2288132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4076118723600 + 1159429325824 = 2018940^2 + 1076768^2 .

It is a super-2 number, since 2×52355480494242 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5235548049427) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 227632523877 + ... + 227632523899.

Almost surely, 25235548049424 is an apocalyptic number.

5235548049424 is the 2288132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5235548049424

5235548049424 is an abundant number, since it is smaller than the sum of its proper divisors (9965609945837).

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

5235548049424 is a wasteful number, since it uses less digits than its factorization.

5235548049424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 55.

The spelling of 5235548049424 in words is "five trillion, two hundred thirty-five billion, five hundred forty-eight million, forty-nine thousand, four hundred twenty-four".