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4164466160 = 24552055827
BaseRepresentation
bin1111100000111000…
…1011010111110000
3101202020011210121102
43320032023113300
532012100404120
61525122543532
7205125243521
oct37016132760
911666153542
104164466160
111847807078
12982807ba8
13514a16c7a
142b7126848
15195910d75
hexf838b5f0

4164466160 has 20 divisors (see below), whose sum is σ = 9682384008. Its totient is φ = 1665786432.

The previous prime is 4164466147. The next prime is 4164466171. The reversal of 4164466160 is 616644614.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26027834 + ... + 26027993.

Almost surely, 24164466160 is an apocalyptic number.

4164466160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4164466160 is an abundant number, since it is smaller than the sum of its proper divisors (5517917848).

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

4164466160 is a wasteful number, since it uses less digits than its factorization.

4164466160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52055840 (or 52055834 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 4164466160 is about 64532.6751343844. The cubic root of 4164466160 is about 1608.8656490165.

The spelling of 4164466160 in words is "four billion, one hundred sixty-four million, four hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 52055827 104111654 208223308 260279135 416446616 520558270 832893232 1041116540 2082233080 4164466160