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166284157 = 13171814157
BaseRepresentation
bin10011110100101…
…00101101111101
3102120220002222111
421322110231331
5320032043112
624300014021
74056251314
oct1172245575
9376802874
10166284157
1185954826
1247831311
13285b0bc0
141812727b
15e8e95a7
hex9e94b7d

166284157 has 16 divisors (see below), whose sum is σ = 190702512. Its totient is φ = 143631360.

The previous prime is 166284113. The next prime is 166284193. The reversal of 166284157 is 751482661.

It can be written as a sum of positive squares in 8 ways, for example, as 26429881 + 139854276 = 5141^2 + 11826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-166284157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166284757) 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 15 ways as a sum of consecutive naturals, for example, 37923 + ... + 42079.

It is an arithmetic number, because the mean of its divisors is an integer number (11918907).

Almost surely, 2166284157 is an apocalyptic number.

166284157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

166284157 is a deficient number, since it is larger than the sum of its proper divisors (24418355).

166284157 is a wasteful number, since it uses less digits than its factorization.

166284157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4368.

The product of its digits is 80640, while the sum is 40.

The square root of 166284157 is about 12895.1214418477. The cubic root of 166284157 is about 549.8998792960.

It can be divided in two parts, 16628 and 4157, that multiplied together give a square (69122596 = 83142).

The spelling of 166284157 in words is "one hundred sixty-six million, two hundred eighty-four thousand, one hundred fifty-seven".

Divisors: 1 13 17 181 221 2353 3077 4157 40001 54041 70669 752417 918697 9781421 12791089 166284157