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171583008138 = 23241232497301
BaseRepresentation
bin1001111111001100100…
…1001110110110001010
3121101212220200221001100
42133303021032312022
510302400222230023
6210454003202230
715252662335143
oct2376311166612
9541786627040
10171583008138
116684a153663
1229306976376
1313245bc09a9
148439dc6aca
1546e37dec43
hex27f324ed8a

171583008138 has 24 divisors (see below), whose sum is σ = 380830580676. Its totient is φ = 55799352000.

The previous prime is 171583008131. The next prime is 171583008257. The reversal of 171583008138 is 831800385171.

171583008138 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 155798352369 + 15784655769 = 394713^2 + 125637^2 .

It is a junction number, because it is equal to n+sod(n) for n = 171583008093 and 171583008102.

It is not an unprimeable number, because it can be changed into a prime (171583008131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116247913 + ... + 116249388.

Almost surely, 2171583008138 is an apocalyptic number.

171583008138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

171583008138 is an abundant number, since it is smaller than the sum of its proper divisors (209247572538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

171583008138 is a wasteful number, since it uses less digits than its factorization.

171583008138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232497350 (or 232497347 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 171583008138 in words is "one hundred seventy-one billion, five hundred eighty-three million, eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 232497301 464994602 697491903 1394983806 2092475709 4184951418 9532389341 19064778682 28597168023 57194336046 85791504069 171583008138