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164728333 = 71121110139
BaseRepresentation
bin10011101000110…
…00111000001101
3102110222001210101
421310120320031
5314132301313
624202411101
74040111350
oct1164307015
9373861711
10164728333
1184a91920
1247200a91
13281879b3
1417c40297
15e6dd5dd
hex9d18e0d

164728333 has 16 divisors (see below), whose sum is σ = 206369280. Its totient is φ = 127738800.

The previous prime is 164728211. The next prime is 164728339. The reversal of 164728333 is 333827461.

It is not a de Polignac number, because 164728333 - 29 = 164727821 is a prime.

It is a Duffinian number.

Its product of digits (72576) is a multiple of the sum of its prime divisors (10368).

It is a junction number, because it is equal to n+sod(n) for n = 164728292 and 164728301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164728339) 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 15 ways as a sum of consecutive naturals, for example, 11178 + ... + 21316.

It is an arithmetic number, because the mean of its divisors is an integer number (12898080).

Almost surely, 2164728333 is an apocalyptic number.

It is an amenable number.

164728333 is a deficient number, since it is larger than the sum of its proper divisors (41640947).

164728333 is a wasteful number, since it uses less digits than its factorization.

164728333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368.

The product of its digits is 72576, while the sum is 37.

The square root of 164728333 is about 12834.6535987536. The cubic root of 164728333 is about 548.1794715144.

The spelling of 164728333 in words is "one hundred sixty-four million, seven hundred twenty-eight thousand, three hundred thirty-three".

Divisors: 1 7 11 77 211 1477 2321 10139 16247 70973 111529 780703 2139329 14975303 23532619 164728333