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4466429253 = 32111331111949
BaseRepresentation
bin1000010100011100…
…00100110101000101
3102112021101010002200
410022032010311011
533121401214003
62015111025113
7215453010426
oct41216046505
912467333080
104466429253
111992201450
12a4796b199
13562451460
1430528b64d
151b21ab6a3
hex10a384d45

4466429253 has 48 divisors (see below), whose sum is σ = 7823961600. Its totient is φ = 2418076800.

The previous prime is 4466429251. The next prime is 4466429257. The reversal of 4466429253 is 3529246644.

It is not a de Polignac number, because 4466429253 - 21 = 4466429251 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4466429199 and 4466429208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4466429251) 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 47 ways as a sum of consecutive naturals, for example, 16078 + ... + 95871.

It is an arithmetic number, because the mean of its divisors is an integer number (162999200).

Almost surely, 24466429253 is an apocalyptic number.

It is an amenable number.

4466429253 is a deficient number, since it is larger than the sum of its proper divisors (3357532347).

4466429253 is a wasteful number, since it uses less digits than its factorization.

4466429253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112010 (or 112007 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 4466429253 is about 66831.3493279913. The cubic root of 4466429253 is about 1646.8478851509.

The spelling of 4466429253 in words is "four billion, four hundred sixty-six million, four hundred twenty-nine thousand, two hundred fifty-three".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 279 341 403 429 1023 1209 1287 3069 3627 4433 13299 39897 111949 335847 1007541 1231439 1455337 3470419 3694317 4366011 10411257 11082951 13098033 16008707 31233771 38174609 45115447 48026121 114523827 135346341 144078363 343571481 406039023 496269917 1488809751 4466429253