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27401706532764 = 2234471799429113
BaseRepresentation
bin1100011101011111101001…
…11110111110111110011100
310121000120121001010200220000
412032233310332332332130
512042422143333022024
6134140100432454300
75525464555334244
oct616576476767634
9117016531120800
1027401706532764
118804aa8a82033
1230a67740aa390
131239c7b9735a5
146aa36d15cb24
15327babbc2cc9
hex18ebf4fbef9c

27401706532764 has 60 divisors (see below), whose sum is σ = 73157590058784. Its totient is φ = 8939563828416.

The previous prime is 27401706532721. The next prime is 27401706532841. The reversal of 27401706532764 is 46723560710472.

27401706532764 is a `hidden beast` number, since 2 + 7 + 40 + 1 + 7 + 0 + 6 + 532 + 7 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27401706532764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 899699329 + ... + 899729784.

Almost surely, 227401706532764 is an apocalyptic number.

It is an amenable number.

27401706532764 is an abundant number, since it is smaller than the sum of its proper divisors (45755883526020).

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

27401706532764 is a wasteful number, since it uses less digits than its factorization.

27401706532764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799429176 (or 1799429165 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 27401706532764 in words is "twenty-seven trillion, four hundred one billion, seven hundred six million, five hundred thirty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7614 15228 1799429113 3598858226 5398287339 7197716452 10796574678 16194862017 21593149356 32389724034 48584586051 64779448068 84573168311 97169172102 145753758153 169146336622 194338344204 253719504933 291507516306 338292673244 507439009866 583015032612 761158514799 1014878019732 1522317029598 2283475544397 3044634059196 4566951088794 6850426633191 9133902177588 13700853266382 27401706532764