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5073175296 = 283273173139
BaseRepresentation
bin1001011100110001…
…01000001100000000
3111002120002000012100
410232120220030000
540342213102141
62155223430400
7236501164350
oct45630501400
914076060170
105073175296
112173747762
12b96bb5400
1362b06c797
14361aacb60
151ea5ad0b6
hex12e628300

5073175296 has 432 divisors, whose sum is σ = 17618298880. Its totient is φ = 1373552640.

The previous prime is 5073175279. The next prime is 5073175319. The reversal of 5073175296 is 6925713705.

5073175296 is a `hidden beast` number, since 50 + 73 + 1 + 7 + 529 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36497595 + ... + 36497733.

Almost surely, 25073175296 is an apocalyptic number.

5073175296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5073175296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809149440).

5073175296 is an abundant number, since it is smaller than the sum of its proper divisors (12545123584).

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

5073175296 is a wasteful number, since it uses less digits than its factorization.

5073175296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5073175296 is about 71226.2261810915. The cubic root of 5073175296 is about 1718.2774461874.

The spelling of 5073175296 in words is "five billion, seventy-three million, one hundred seventy-five thousand, two hundred ninety-six".