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4444675137 = 327682910331
BaseRepresentation
bin1000010001110110…
…00101110001000001
3102110202102220001200
410020323011301001
533100314101022
62013012451413
7215100054360
oct41073056101
912422386050
104444675137
1119809a3241
12a40619b69
1355aaa57b6
143024277d7
151b0310bac
hex108ec5c41

4444675137 has 24 divisors (see below), whose sum is σ = 7339026240. Its totient is φ = 2539196640.

The previous prime is 4444675097. The next prime is 4444675159. The reversal of 4444675137 is 7315764444.

4444675137 is a `hidden beast` number, since 4 + 4 + 446 + 75 + 137 = 666.

It is not a de Polignac number, because 4444675137 - 211 = 4444673089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4444675092 and 4444675101.

It is not an unprimeable number, because it can be changed into a prime (4444675337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 425062 + ... + 435392.

It is an arithmetic number, because the mean of its divisors is an integer number (305792760).

Almost surely, 24444675137 is an apocalyptic number.

It is an amenable number.

4444675137 is a deficient number, since it is larger than the sum of its proper divisors (2894351103).

4444675137 is a wasteful number, since it uses less digits than its factorization.

4444675137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17173 (or 17170 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The square root of 4444675137 is about 66668.3968383821. The cubic root of 4444675137 is about 1644.1698292331.

The spelling of 4444675137 in words is "four billion, four hundred forty-four million, six hundred seventy-five thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 63 6829 10331 20487 30993 47803 61461 72317 92979 143409 216951 430227 650853 70550399 211651197 493852793 634953591 1481558379 4444675137