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52685065440 = 25335731431307
BaseRepresentation
bin110001000100010001…
…100100110011100000
312000222201020121222000
4301010101210303200
51330344334043230
640111515444000
73543404444610
oct610421446340
9160881217860
1052685065440
11203863894a7
12a264156600
134c78127847
14279b196a40
151585479b60
hexc44464ce0

52685065440 has 768 divisors, whose sum is σ = 222767677440. Its totient is φ = 11374110720.

The previous prime is 52685065393. The next prime is 52685065451. The reversal of 52685065440 is 4456058625.

52685065440 is a `hidden beast` number, since 5 + 26 + 85 + 0 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×526850654402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40309267 + ... + 40310573.

It is an arithmetic number, because the mean of its divisors is an integer number (290062080).

Almost surely, 252685065440 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 52685065440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111383838720).

52685065440 is an abundant number, since it is smaller than the sum of its proper divisors (170082612000).

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

52685065440 is a wasteful number, since it uses less digits than its factorization.

52685065440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 52685065440 in words is "fifty-two billion, six hundred eighty-five million, sixty-five thousand, four hundred forty".