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27482675703681 = 31110759985315233
BaseRepresentation
bin1100011111110110011110…
…00111110110111110000001
310121022022120220220202110010
412033323033013312332001
512100234004440004211
6134241211131055133
75534362216046112
oct617731707667601
9117268526822403
1027482675703681
118836378a65610
1230ba3b05a14a9
1312447b3810103
146b02508dc209
15329d4a2d34a6
hex18fecf1f6f81

27482675703681 has 64 divisors (see below), whose sum is σ = 40465793894400. Its totient is φ = 16452563312640.

The previous prime is 27482675703617. The next prime is 27482675703701. The reversal of 27482675703681 is 18630757628472.

It is not a de Polignac number, because 27482675703681 - 26 = 27482675703617 is a prime.

It is a super-2 number, since 2×274826757036812 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (27482675702681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1804146241 + ... + 1804161473.

It is an arithmetic number, because the mean of its divisors is an integer number (632278029600).

Almost surely, 227482675703681 is an apocalyptic number.

It is an amenable number.

27482675703681 is a deficient number, since it is larger than the sum of its proper divisors (12983118190719).

27482675703681 is a wasteful number, since it uses less digits than its factorization.

27482675703681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16806.

The product of its (nonzero) digits is 189665280, while the sum is 66.

The spelling of 27482675703681 in words is "twenty-seven trillion, four hundred eighty-two billion, six hundred seventy-five million, seven hundred three thousand, six hundred eighty-one".

Divisors: 1 3 11 33 107 321 599 853 1177 1797 2559 3531 6589 9383 15233 19767 28149 45699 64093 91271 167563 192279 273813 502689 510947 705023 1003981 1532841 1629931 2115069 3011943 4889793 5620417 9124567 12993749 16861251 17929241 27373701 38981247 53787723 54671329 100370237 142931239 164013987 301110711 428793717 601384619 976328669 1390331143 1804153857 2928986007 4170993429 7783255651 10739615359 15293642573 23349766953 32218846077 45880927719 85615812161 256847436483 832808354657 2498425063971 9160891901227 27482675703681