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5386073495040 = 2933572337103127
BaseRepresentation
bin100111001100000101011…
…1111110101011000000000
3201001220101201111202002000
41032120022333311120000
51201221134303320130
615242154503224000
71064062631215650
oct116301277653000
921056351452060
105386073495040
111797248089627
1272ba35148000
13300b9b3b7014
1414898a124360
15951866a3260
hex4e60aff5600

5386073495040 has 2560 divisors, whose sum is σ = 23845970903040. Its totient is φ = 1125692080128.

The previous prime is 5386073495039. The next prime is 5386073495051. The reversal of 5386073495040 is 405943706835.

5386073495040 is a `hidden beast` number, since 5 + 3 + 8 + 60 + 73 + 4 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42410027457 + ... + 42410027583.

It is an arithmetic number, because the mean of its divisors is an integer number (9314832384).

Almost surely, 25386073495040 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 5386073495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11922985451520).

5386073495040 is an abundant number, since it is smaller than the sum of its proper divisors (18459897408000).

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

5386073495040 is a wasteful number, since it uses less digits than its factorization.

5386073495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5386073495040 in words is "five trillion, three hundred eighty-six billion, seventy-three million, four hundred ninety-five thousand, forty".