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166312143 = 3379103757
BaseRepresentation
bin10011110100110…
…11100011001111
3102120221112101000
421322123203033
5320033442033
624300351343
74056426024
oct1172334317
9376845330
10166312143
1185973858
1247845553
13285c086a
141813354b
15e902a13
hex9e9b8cf

166312143 has 32 divisors (see below), whose sum is σ = 252262400. Its totient is φ = 108265248.

The previous prime is 166312123. The next prime is 166312147. The reversal of 166312143 is 341213661.

166312143 is a `hidden beast` number, since 1 + 6 + 631 + 21 + 4 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-166312143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166312147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219321 + ... + 220077.

It is an arithmetic number, because the mean of its divisors is an integer number (7883200).

Almost surely, 2166312143 is an apocalyptic number.

166312143 is a deficient number, since it is larger than the sum of its proper divisors (85950257).

166312143 is a wasteful number, since it uses less digits than its factorization.

166312143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 166312143 is about 12896.2065352568. The cubic root of 166312143 is about 549.9307273636.

The spelling of 166312143 in words is "one hundred sixty-six million, three hundred twelve thousand, one hundred forty-three".

Divisors: 1 3 9 27 79 103 237 309 711 757 927 2133 2271 2781 6813 8137 20439 24411 59803 73233 77971 179409 219699 233913 538227 701739 1614681 2105217 6159709 18479127 55437381 166312143