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11272673731671 = 32112925715277793
BaseRepresentation
bin1010010000001001111110…
…1101101010010001010111
31110220122202000101110000100
42210002133231222101113
52434142413433403141
635550332251545143
72242265235516132
oct244023755522127
943818660343010
1011272673731671
113656794497380
12132087775b1b3
1363a015aa7a01
142ad8593c5219
15148364d360b6
hexa409fb6a457

11272673731671 has 48 divisors (see below), whose sum is σ = 18447019587360. Its totient is φ = 6570672783360.

The previous prime is 11272673731639. The next prime is 11272673731673. The reversal of 11272673731671 is 17613737627211.

11272673731671 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 267 + 373 + 1 + 6 + 7 + 1 = 666.

11272673731671 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11272673731671 - 25 = 11272673731639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272673731673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6901050 + ... + 8376743.

It is an arithmetic number, because the mean of its divisors is an integer number (384312908070).

Almost surely, 211272673731671 is an apocalyptic number.

11272673731671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11272673731671 is a deficient number, since it is larger than the sum of its proper divisors (7174345855689).

11272673731671 is a wasteful number, since it uses less digits than its factorization.

11272673731671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15278096 (or 15278093 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The spelling of 11272673731671 in words is "eleven trillion, two hundred seventy-two billion, six hundred seventy-three million, seven hundred thirty-one thousand, six hundred seventy-one".

Divisors: 1 3 9 11 29 33 87 99 257 261 319 771 957 2313 2827 2871 7453 8481 22359 25443 67077 81983 245949 737847 15277793 45833379 137500137 168055723 443055997 504167169 1329167991 1512501507 3926392801 3987503973 4873615967 11779178403 14620847901 35337535209 43190320811 43862543703 113865391229 129570962433 341596173687 388712887299 1024788521061 1252519303519 3757557910557 11272673731671