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45543052224 = 263517210133
BaseRepresentation
bin101010011010100100…
…111101001111000000
311100112222021202200000
4222122210331033000
51221233010132344
632531105400000
73201412361625
oct523244751700
9140488252600
1045543052224
111835095823a
1289b0339000
1343aa58b117
1422c083034c
1512b845ca69
hexa9a93d3c0

45543052224 has 252 divisors, whose sum is σ = 143821687464. Its totient is φ = 14286606336.

The previous prime is 45543052223. The next prime is 45543052249. The reversal of 45543052224 is 42225034554.

45543052224 is a `hidden beast` number, since 4 + 554 + 30 + 52 + 2 + 24 = 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 (45543052223) 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 35 ways as a sum of consecutive naturals, for example, 4489462 + ... + 4499594.

It is an arithmetic number, because the mean of its divisors is an integer number (570720982).

Almost surely, 245543052224 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 45543052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71910843732).

45543052224 is an abundant number, since it is smaller than the sum of its proper divisors (98278635240).

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

45543052224 is a wasteful number, since it uses less digits than its factorization.

45543052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 45543052224 its reverse (42225034554), we get a palindrome (87768086778).

The spelling of 45543052224 in words is "forty-five billion, five hundred forty-three million, fifty-two thousand, two hundred twenty-four".