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164605743 = 337977171
BaseRepresentation
bin10011100111110…
…10111100101111
3102110201211122000
421303322330233
5314114340433
624200023343
74036061061
oct1163727457
9373654560
10164605743
1184a08805
1247161b53
1328143c63
1417c0b731
15e6b7113
hex9cfaf2f

164605743 has 16 divisors (see below), whose sum is σ = 246950400. Its totient is φ = 108346680.

The previous prime is 164605741. The next prime is 164605751. The reversal of 164605743 is 347506461.

It is a happy number.

164605743 is a `hidden beast` number, since 1 + 6 + 4 + 605 + 7 + 43 = 666.

It is not a de Polignac number, because 164605743 - 21 = 164605741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164605698 and 164605707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164605741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36453 + ... + 40718.

It is an arithmetic number, because the mean of its divisors is an integer number (15434400).

Almost surely, 2164605743 is an apocalyptic number.

164605743 is a deficient number, since it is larger than the sum of its proper divisors (82344657).

164605743 is an equidigital number, since it uses as much as digits as its factorization.

164605743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77259 (or 77253 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 164605743 is about 12829.8769674537. The cubic root of 164605743 is about 548.0434536289.

The spelling of 164605743 in words is "one hundred sixty-four million, six hundred five thousand, seven hundred forty-three".

Divisors: 1 3 9 27 79 237 711 2133 77171 231513 694539 2083617 6096509 18289527 54868581 164605743