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2725921188081 = 36713311325509
BaseRepresentation
bin100111101010101101100…
…100000110100011110001
3100122121002010122001000000
4213222231210012203301
5324130141311004311
65444134303220213
7400640603536350
oct47525544064361
910577063561000
102725921188081
1196106949a773
123803755a7669
1316a09003c310
1495d14611997
154ad92a6c056
hex27aad9068f1

2725921188081 has 112 divisors (see below), whose sum is σ = 5192436229120. Its totient is φ = 1391465278080.

The previous prime is 2725921188041. The next prime is 2725921188157. The reversal of 2725921188081 is 1808811295272.

It is a happy number.

2725921188081 is a `hidden beast` number, since 27 + 259 + 211 + 8 + 80 + 81 = 666.

2725921188081 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 2725921188081 - 217 = 2725921057009 is a prime.

It is a super-2 number, since 2×27259211880812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2725921188041) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1393755 + ... + 2719263.

It is an arithmetic number, because the mean of its divisors is an integer number (46361037760).

Almost surely, 22725921188081 is an apocalyptic number.

2725921188081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2725921188081 is a deficient number, since it is larger than the sum of its proper divisors (2466515041039).

2725921188081 is a wasteful number, since it uses less digits than its factorization.

2725921188081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325578 (or 1325563 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 2725921188081 in words is "two trillion, seven hundred twenty-five billion, nine hundred twenty-one million, one hundred eighty-eight thousand, eighty-one".

Divisors: 1 3 7 9 13 21 27 31 39 63 81 91 93 117 189 217 243 273 279 351 403 567 651 729 819 837 1053 1209 1701 1953 2457 2511 2821 3159 3627 5103 5859 7371 7533 8463 9477 10881 17577 22113 22599 25389 32643 52731 66339 76167 97929 158193 228501 293787 685503 1325509 2056509 3976527 9278563 11929581 17231617 27835689 35788743 41090779 51694851 83507067 107366229 120621319 123272337 155084553 250521201 287635453 322098687 361863957 369817011 465253659 534180127 751563603 862906359 966296061 1085591871 1109451033 1395760977 1602540381 2254690809 2588719077 3256775613 3328353099 3739260889 4187282931 4807621143 6764072427 7766157231 9770326839 9985059297 11217782667 12561848793 14422863429 23298471693 29310980517 29955177891 33653348001 43268590287 69895415079 87932941551 100960044003 129805770861 209686245237 302880132009 389417312583 908640396027 2725921188081