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1052853369568 = 2571113117128069
BaseRepresentation
bin11110101001000101111…
…00110111101011100000
310201122121011100210022021
433110202330313223200
5114222220430311233
62123401341351224
7136031454660340
oct17244274675340
93648534323267
101052853369568
11376570308810
12150072568514
137838c230810
1438d5bad0d20
151c5c1888e2d
hexf522f37ae0

1052853369568 has 192 divisors, whose sum is σ = 2785542842880. Its totient is φ = 378311731200.

The previous prime is 1052853369563. The next prime is 1052853369577. The reversal of 1052853369568 is 8659633582501.

It is a happy number.

It is a super-2 number, since 2×10528533695682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052853369563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37495438 + ... + 37523506.

It is an arithmetic number, because the mean of its divisors is an integer number (14508035640).

Almost surely, 21052853369568 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 1052853369568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392771421440).

1052853369568 is an abundant number, since it is smaller than the sum of its proper divisors (1732689473312).

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

1052853369568 is a wasteful number, since it uses less digits than its factorization.

1052853369568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29281 (or 29273 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 61.

The spelling of 1052853369568 in words is "one trillion, fifty-two billion, eight hundred fifty-three million, three hundred sixty-nine thousand, five hundred sixty-eight".