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166516025 = 52134211217
BaseRepresentation
bin10011110110011…
…01010100111001
3102121022220001012
421323031110321
5320112003100
624305003305
74061235314
oct1173152471
9377286035
10166516025
1185aa2a55
1247923535
13286625c0
141818797b
15e943135
hex9ecd539

166516025 has 24 divisors (see below), whose sum is σ = 223074264. Its totient is φ = 122572800.

The previous prime is 166516001. The next prime is 166516027. The reversal of 166516025 is 520615661.

It can be written as a sum of positive squares in 12 ways, for example, as 141395881 + 25120144 = 11891^2 + 5012^2 .

It is not a de Polignac number, because 166516025 - 218 = 166253881 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166515982 and 166516000.

It is not an unprimeable number, because it can be changed into a prime (166516027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136217 + ... + 137433.

It is an arithmetic number, because the mean of its divisors is an integer number (9294761).

Almost surely, 2166516025 is an apocalyptic number.

It is an amenable number.

166516025 is a deficient number, since it is larger than the sum of its proper divisors (56558239).

166516025 is a wasteful number, since it uses less digits than its factorization.

166516025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1661 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 166516025 is about 12904.1088417604. The cubic root of 166516025 is about 550.1553555624.

The spelling of 166516025 in words is "one hundred sixty-six million, five hundred sixteen thousand, twenty-five".

Divisors: 1 5 13 25 65 325 421 1217 2105 5473 6085 10525 15821 27365 30425 79105 136825 395525 512357 2561785 6660641 12808925 33303205 166516025