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172148085 = 345425057
BaseRepresentation
bin10100100001011…
…00010101110101
3102222221000210000
422100230111311
5323032214320
625025421513
74160143314
oct1220542565
9388830700
10172148085
118919a44a
124979a899
1329884c95
1418c1227b
15101a6c90
hexa42c575

172148085 has 20 divisors (see below), whose sum is σ = 308592108. Its totient is φ = 91812096.

The previous prime is 172148071. The next prime is 172148107. The reversal of 172148085 is 580841271.

172148085 is a `hidden beast` number, since 172 + 1 + 480 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97653924 + 74494161 = 9882^2 + 8631^2 .

It is not a de Polignac number, because 172148085 - 27 = 172147957 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 212124 + ... + 212933.

Almost surely, 2172148085 is an apocalyptic number.

172148085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

172148085 is a deficient number, since it is larger than the sum of its proper divisors (136444023).

172148085 is an equidigital number, since it uses as much as digits as its factorization.

172148085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425074 (or 425065 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 172148085 is about 13120.5215216469. The cubic root of 172148085 is about 556.2893325720.

The spelling of 172148085 in words is "one hundred seventy-two million, one hundred forty-eight thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 425057 1275171 2125285 3825513 6375855 11476539 19127565 34429617 57382695 172148085