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21711400892973 = 3411371063161949
BaseRepresentation
bin1001110111111000101000…
…10101100111101000101101
32211212120220212011200220000
410323330110111213220231
510321204422112033343
6114102025130414513
74400411516421321
oct473742425475055
984776825150800
1021711400892973
116a10831875220
122527994291439
13c164b7a08a0c
14550ba1bd3981
15279b6b531ed3
hex13bf14567a2d

21711400892973 has 80 divisors (see below), whose sum is σ = 36341804822400. Its totient is φ = 12801380745600.

The previous prime is 21711400892959. The next prime is 21711400893011. The reversal of 21711400892973 is 37929800411712.

21711400892973 is a `hidden beast` number, since 2 + 1 + 71 + 1 + 400 + 89 + 2 + 97 + 3 = 666.

It is not a de Polignac number, because 21711400892973 - 217 = 21711400761901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21711400892273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 350441203 + ... + 350503151.

It is an arithmetic number, because the mean of its divisors is an integer number (454272560280).

Almost surely, 221711400892973 is an apocalyptic number.

It is an amenable number.

21711400892973 is a deficient number, since it is larger than the sum of its proper divisors (14630403929427).

21711400892973 is a wasteful number, since it uses less digits than its factorization.

21711400892973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72640 (or 72631 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 21711400892973 in words is "twenty-one trillion, seven hundred eleven billion, four hundred million, eight hundred ninety-two thousand, nine hundred seventy-three".

Divisors: 1 3 9 11 27 33 37 81 99 111 297 333 407 891 999 1221 2997 3663 10631 10989 31893 32967 61949 95679 116941 185847 287037 350823 393347 557541 681439 861111 1052469 1180041 1672623 2044317 2292113 3157407 3540123 4326817 5017869 6132951 6876339 9472221 10620369 12980451 18398853 20629017 25213243 31861107 38941353 55196559 61887051 75639729 116824059 185661153 226919187 350472177 658579819 680757561 1975739457 2042272683 5927218371 7244378009 17781655113 21733134027 24367453303 53344965339 65199402081 73102359909 195598206243 219307079727 268041986333 586794618729 657921239181 804125958999 1973763717543 2412377876997 7237133630991 21711400892973