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166198513 = 13531092213
BaseRepresentation
bin10011110011111…
…11110011110001
3102120201202111111
421321333303301
5320021323023
624254113321
74055443525
oct1171776361
9376652444
10166198513
11858a6448
12477ab841
1328580c20
1418103d85
15e8ce00d
hex9e7fcf1

166198513 has 16 divisors (see below), whose sum is σ = 184116240. Its totient is φ = 149071104.

The previous prime is 166198469. The next prime is 166198517. The reversal of 166198513 is 315891661.

It can be written as a sum of positive squares in 8 ways, for example, as 21790224 + 144408289 = 4668^2 + 12017^2 .

It is a de Polignac number, because none of the positive numbers 2k-166198513 is a prime.

It is a super-2 number, since 2×1661985132 = 55243891446822338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (166198517) 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, 73995 + ... + 76207.

It is an arithmetic number, because the mean of its divisors is an integer number (11507265).

Almost surely, 2166198513 is an apocalyptic number.

166198513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

166198513 is a deficient number, since it is larger than the sum of its proper divisors (17917727).

166198513 is a wasteful number, since it uses less digits than its factorization.

166198513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388.

The product of its digits is 38880, while the sum is 40.

The square root of 166198513 is about 12891.8002233978. The cubic root of 166198513 is about 549.8054551611.

The spelling of 166198513 in words is "one hundred sixty-six million, one hundred ninety-eight thousand, five hundred thirteen".

Divisors: 1 13 53 109 689 1417 2213 5777 28769 75101 117289 241217 1524757 3135821 12784501 166198513