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65240385596064 = 2533721981106021
BaseRepresentation
bin11101101010101111101100…
…00000100010101010100000
322112222220211122102011202000
432311113312000202222200
532022344302203033224
6350431004104324000
716512314400516300
oct1665276600425240
9275886748364660
1065240385596064
1119873323945938
127398035173600
132a531acb81513
141217919a63600
157820baeeb0c9
hex3b55f6022aa0

65240385596064 has 288 divisors, whose sum is σ = 233001380001600. Its totient is φ = 17659051522560.

The previous prime is 65240385596063. The next prime is 65240385596147. The reversal of 65240385596064 is 46069558304256.

65240385596064 is a `hidden beast` number, since 6 + 5 + 2 + 4 + 0 + 38 + 5 + 596 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 65240385595992 and 65240385596010.

It is not an unprimeable number, because it can be changed into a prime (65240385596063) 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, 39748627 + ... + 41357394.

It is an arithmetic number, because the mean of its divisors is an integer number (809032569450).

Almost surely, 265240385596064 is an apocalyptic number.

It is an amenable number.

65240385596064 is an abundant number, since it is smaller than the sum of its proper divisors (167760994405536).

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

65240385596064 is a wasteful number, since it uses less digits than its factorization.

65240385596064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81106073 (or 81106052 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 63.

The spelling of 65240385596064 in words is "sixty-five trillion, two hundred forty billion, three hundred eighty-five million, five hundred ninety-six thousand, sixty-four".