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16444463625 = 325373200237
BaseRepresentation
bin11110101000010101…
…01001101000001001
31120110001011022021100
433110022221220021
5232134240314000
611315433532013
71121336430432
oct172412515011
946401138240
1016444463625
116a7951aa07
12322b274009
131720b94c65
14b1ddcc489
15663a3da00
hex3d42a9a09

16444463625 has 48 divisors (see below), whose sum is σ = 30050117136. Its totient is φ = 8650195200.

The previous prime is 16444463603. The next prime is 16444463671. The reversal of 16444463625 is 52636444461.

16444463625 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 4 + 4 + 636 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2795448384 + 13649015241 = 52872^2 + 116829^2 .

It is not a de Polignac number, because 16444463625 - 224 = 16427686409 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17994 + ... + 182243.

It is an arithmetic number, because the mean of its divisors is an integer number (626044107).

Almost surely, 216444463625 is an apocalyptic number.

16444463625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16444463625 is a deficient number, since it is larger than the sum of its proper divisors (13605653511).

16444463625 is a wasteful number, since it uses less digits than its factorization.

16444463625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200331 (or 200318 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 16444463625 in words is "sixteen billion, four hundred forty-four million, four hundred sixty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 73 75 125 219 225 365 375 657 1095 1125 1825 3285 5475 9125 16425 27375 82125 200237 600711 1001185 1802133 3003555 5005925 9010665 14617301 15017775 25029625 43851903 45053325 73086505 75088875 131555709 219259515 225266625 365432525 657778545 1096297575 1827162625 3288892725 5481487875 16444463625