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4464321966 = 2341319315961
BaseRepresentation
bin1000010100001100…
…00010010110101110
3102112010102001110000
410022012002112232
533120331300331
62014553525130
7215426052636
oct41206022656
912463361400
104464321966
111990aa2195
12a471137a6
13561b94240
14304c9d6c6
151b1de20e6
hex10a1825ae

4464321966 has 320 divisors, whose sum is σ = 12099225600. Its totient is φ = 1217721600.

The previous prime is 4464321943. The next prime is 4464321991. The reversal of 4464321966 is 6691234644.

It is a super-2 number, since 2×44643219662 = 39860341232220210312, which contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 73185576 + ... + 73185636.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 24464321966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464321966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6049612800).

4464321966 is an abundant number, since it is smaller than the sum of its proper divisors (7634903634).

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

4464321966 is a wasteful number, since it uses less digits than its factorization.

4464321966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 188 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 4464321966 is about 66815.5817605444. The cubic root of 4464321966 is about 1646.5888469747.

The spelling of 4464321966 in words is "four billion, four hundred sixty-four million, three hundred twenty-one thousand, nine hundred sixty-six".