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1665339038064 = 2433131998315877
BaseRepresentation
bin11000001110111101111…
…100010001100101110000
312220012112100012112002000
4120032331330101211300
5204241103243204224
63313013551054000
7231213440156262
oct30167574214560
95805470175060
101665339038064
115922a25208a9
1222a906811300
13c106b82a640
145a862297b32
152d4bc90e0c9
hex183bdf11970

1665339038064 has 320 divisors, whose sum is σ = 5424636134400. Its totient is φ = 484918576128.

The previous prime is 1665339038057. The next prime is 1665339038087. The reversal of 1665339038064 is 4608309335661.

1665339038064 is a `hidden beast` number, since 16 + 6 + 533 + 9 + 0 + 38 + 0 + 64 = 666.

It is a super-2 number, since 2×16653390380642 (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1665339038064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104882094 + ... + 104897970.

It is an arithmetic number, because the mean of its divisors is an integer number (16951987920).

Almost surely, 21665339038064 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 1665339038064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712318067200).

1665339038064 is an abundant number, since it is smaller than the sum of its proper divisors (3759297096336).

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

1665339038064 is a wasteful number, since it uses less digits than its factorization.

1665339038064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16909 (or 16897 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 1665339038064 in words is "one trillion, six hundred sixty-five billion, three hundred thirty-nine million, thirty-eight thousand, sixty-four".