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4497253928640 = 26345113612137
BaseRepresentation
bin100000101110001100100…
…1110010000111011000000
3120220221012100200112110000
41001130121032100323000
51042140334001204030
613322002051240000
7642626100443514
oct101343116207300
916827170615400
104497253928640
111484302666000
126077212a9000
1326812104b8c5
1411794d97a144
157beb59a7860
hex41719390ec0

4497253928640 has 1120 divisors, whose sum is σ = 17892903048768. Its totient is φ = 1071868723200.

The previous prime is 4497253928621. The next prime is 4497253928641. The reversal of 4497253928640 is 468293527944.

4497253928640 is a `hidden beast` number, since 4 + 4 + 9 + 72 + 539 + 28 + 6 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (4497253928641) 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 159 ways as a sum of consecutive naturals, for example, 2104469652 + ... + 2104471788.

Almost surely, 24497253928640 is an apocalyptic number.

4497253928640 is a gapful number since it is divisible by the number (40) 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 4497253928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946451524384).

4497253928640 is an abundant number, since it is smaller than the sum of its proper divisors (13395649120128).

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

4497253928640 is a wasteful number, since it uses less digits than its factorization.

4497253928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 4497253928640 in words is "four trillion, four hundred ninety-seven billion, two hundred fifty-three million, nine hundred twenty-eight thousand, six hundred forty".