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5253679843360 = 2551319212295693
BaseRepresentation
bin100110001110011011110…
…1110001000100000100000
3200121020122222111101122021
41030130313232020200200
51142034014014441420
615101301315551224
71051365040565164
oct114346756104040
920536588441567
105253679843360
111746089343573
1270a2468bb514
132c155c63a260
141423cabacca4
15919d861e7aa
hex4c737b88820

5253679843360 has 288 divisors, whose sum is σ = 14121062832240. Its totient is φ = 1835906605056.

The previous prime is 5253679843343. The next prime is 5253679843367. The reversal of 5253679843360 is 633489763525.

It can be written as a sum of positive squares in 8 ways, for example, as 1879125539344 + 3374554304016 = 1370812^2 + 1836996^2 .

It is a super-3 number, since 3×52536798433603 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5253679843367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 922828674 + ... + 922834366.

Almost surely, 25253679843360 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 5253679843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7060531416120).

5253679843360 is an abundant number, since it is smaller than the sum of its proper divisors (8867382988880).

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

5253679843360 is a wasteful number, since it uses less digits than its factorization.

5253679843360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 61.

The spelling of 5253679843360 in words is "five trillion, two hundred fifty-three billion, six hundred seventy-nine million, eight hundred forty-three thousand, three hundred sixty".