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21727127117187 = 3217296773086653
BaseRepresentation
bin1001111000010101111011…
…01100011001110110000011
32211221002111211211122220200
410330022331230121312003
510321434124020222222
6114113145430140243
74401506315213442
oct474127554316603
984832454748820
1021727127117187
116a17471918238
12252aa42ab1683
13c17b22b4662b
1455185465ad59
1527a28be98eac
hex13c2bdb19d83

21727127117187 has 48 divisors (see below), whose sum is σ = 34888645153440. Its totient is φ = 12966156758016.

The previous prime is 21727127117159. The next prime is 21727127117209. The reversal of 21727127117187 is 78171172172712.

It is a happy number.

21727127117187 is a `hidden beast` number, since 2 + 17 + 271 + 271 + 17 + 1 + 87 = 666.

It is not a de Polignac number, because 21727127117187 - 28 = 21727127116931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21727127110187) 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, 36246048 + ... + 36840605.

It is an arithmetic number, because the mean of its divisors is an integer number (726846774030).

Almost surely, 221727127117187 is an apocalyptic number.

21727127117187 is a deficient number, since it is larger than the sum of its proper divisors (13161518036253).

21727127117187 is a wasteful number, since it uses less digits than its factorization.

21727127117187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73086772 (or 73086769 counting only the distinct ones).

The product of its digits is 1075648, while the sum is 54.

Adding to 21727127117187 its reverse (78171172172712), we get a palindrome (99898299289899).

The spelling of 21727127117187 in words is "twenty-one trillion, seven hundred twenty-seven billion, one hundred twenty-seven million, one hundred seventeen thousand, one hundred eighty-seven".

Divisors: 1 3 9 17 29 51 67 87 153 201 261 493 603 1139 1479 1943 3417 4437 5829 10251 17487 33031 99093 297279 73086653 219259959 657779877 1242473101 2119512937 3727419303 4896805751 6358538811 11182257909 14690417253 19075616433 36031719929 44071251759 83245697767 108095159787 142007366779 249737093301 324285479361 426022100337 749211279903 1278066301011 2414125235243 7242375705729 21727127117187