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5253725130240 = 2935171910092099
BaseRepresentation
bin100110001110011101001…
…1010111000111000000000
3200121020210010201012120010
41030130322122320320000
51142034112113131430
615101310014344520
71051366130532666
oct114347232707000
920536703635503
105253725130240
111746101965244
1270a259abb140
132c1568b35322
141423d2bdac36
15919dc5b7cb0
hex4c73a6b8e00

5253725130240 has 640 divisors, whose sum is σ = 18746925120000. Its totient is φ = 1247350358016.

The previous prime is 5253725130229. The next prime is 5253725130263. The reversal of 5253725130240 is 420315273525.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2502964711 + ... + 2502966809.

It is an arithmetic number, because the mean of its divisors is an integer number (29292070500).

Almost surely, 25253725130240 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 5253725130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9373462560000).

5253725130240 is an abundant number, since it is smaller than the sum of its proper divisors (13493199989760).

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

5253725130240 is a wasteful number, since it uses less digits than its factorization.

5253725130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The spelling of 5253725130240 in words is "five trillion, two hundred fifty-three billion, seven hundred twenty-five million, one hundred thirty thousand, two hundred forty".