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5005505536 = 21034714087
BaseRepresentation
bin1001010100101100…
…11111010000000000
3110220211202000201221
410222112133100000
540222402134121
62144405204424
7235020044413
oct45226372000
913824660657
105005505536
112139528439
12b78400714
1361a0387c5
14356ad5b7a
151e4692b41
hex12a59f400

5005505536 has 44 divisors (see below), whose sum is σ = 10035671328. Its totient is φ = 2495363072.

The previous prime is 5005505513. The next prime is 5005505573. The reversal of 5005505536 is 6355055005.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 348285 + ... + 362371.

Almost surely, 25005505536 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 5005505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017835664).

5005505536 is an abundant number, since it is smaller than the sum of its proper divisors (5030165792).

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

5005505536 is a wasteful number, since it uses less digits than its factorization.

5005505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14454 (or 14436 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 34.

The square root of 5005505536 is about 70749.5974264165. The cubic root of 5005505536 is about 1710.6033387333.

The spelling of 5005505536 in words is "five billion, five million, five hundred five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 347 512 694 1024 1388 2776 5552 11104 14087 22208 28174 44416 56348 88832 112696 177664 225392 355328 450784 901568 1803136 3606272 4888189 7212544 9776378 14425088 19552756 39105512 78211024 156422048 312844096 625688192 1251376384 2502752768 5005505536