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5506002432 = 29337173347
BaseRepresentation
bin1010010000010111…
…01110111000000000
3112012201111220102000
411020023232320000
542234014034212
62310204424000
7253305151140
oct51013567000
915181456360
105506002432
112375aa4137
121097b48000
13699935b08
143a337a920
152235a81dc
hex1482eee00

5506002432 has 320 divisors, whose sum is σ = 19728023040. Its totient is φ = 1480163328.

The previous prime is 5506002421. The next prime is 5506002433. The reversal of 5506002432 is 2342006055.

5506002432 is a `hidden beast` number, since 5 + 5 + 0 + 600 + 24 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5506002396 and 5506002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506002433) 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 31 ways as a sum of consecutive naturals, for example, 1643383 + ... + 1646729.

It is an arithmetic number, because the mean of its divisors is an integer number (61650072).

Almost surely, 25506002432 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 5506002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864011520).

5506002432 is an abundant number, since it is smaller than the sum of its proper divisors (14222020608).

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

5506002432 is a wasteful number, since it uses less digits than its factorization.

5506002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5506002432 is about 74202.4422239592. The cubic root of 5506002432 is about 1765.8160758953.

Adding to 5506002432 its reverse (2342006055), we get a palindrome (7848008487).

The spelling of 5506002432 in words is "five billion, five hundred six million, two thousand, four hundred thirty-two".