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172834438271 = 1117254367549
BaseRepresentation
bin1010000011110110111…
…1000011110001111111
3121112010010111011110112
42200331233003301333
510312431104011041
6211222105500235
715325666325405
oct2407557036177
9545103434415
10172834438271
1167331597640
12295b5aa167b
13133b52514b1
1485182a3475
1547685d8deb
hex283dbc3c7f

172834438271 has 12 divisors (see below), whose sum is σ = 200290054200. Its totient is φ = 147879730560.

The previous prime is 172834438241. The next prime is 172834438307.

172834438271 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 172834438271 - 222 = 172830243967 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172834438241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27180596 + ... + 27186953.

It is an arithmetic number, because the mean of its divisors is an integer number (16690837850).

Almost surely, 2172834438271 is an apocalyptic number.

172834438271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

172834438271 is a deficient number, since it is larger than the sum of its proper divisors (27455615929).

172834438271 is a wasteful number, since it uses less digits than its factorization.

172834438271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54367594 (or 54367577 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 50.

The spelling of 172834438271 in words is "one hundred seventy-two billion, eight hundred thirty-four million, four hundred thirty-eight thousand, two hundred seventy-one".

Divisors: 1 11 17 187 289 3179 54367549 598043039 924248333 10166731663 15712221661 172834438271