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21890538670221 = 32131283691121101
BaseRepresentation
bin1001111101000110010011…
…10010000000100010001101
32212111201022021111122212200
410332203021302000202031
510332123310344421341
6114320212530552113
74416352645412424
oct476431162004215
985451267448780
1021890538670221
116a7a7a8437711
122556649138639
13c2a365b22790
145597172a82bb
1527e6531c1db6
hex13e8c9c8088d

21890538670221 has 48 divisors (see below), whose sum is σ = 34085036224512. Its totient is φ = 13458015504000.

The previous prime is 21890538670141. The next prime is 21890538670223. The reversal of 21890538670221 is 12207683509812.

21890538670221 is a `hidden beast` number, since 2 + 1 + 89 + 0 + 538 + 6 + 7 + 0 + 2 + 21 = 666.

It is not a de Polignac number, because 21890538670221 - 221 = 21890536573069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21890538670223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1037406571 + ... + 1037427671.

It is an arithmetic number, because the mean of its divisors is an integer number (710104921344).

Almost surely, 221890538670221 is an apocalyptic number.

It is an amenable number.

21890538670221 is a deficient number, since it is larger than the sum of its proper divisors (12194497554291).

21890538670221 is a wasteful number, since it uses less digits than its factorization.

21890538670221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29314 (or 29311 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 21890538670221 in words is "twenty-one trillion, eight hundred ninety billion, five hundred thirty-eight million, six hundred seventy thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 1283 3849 6911 11547 16679 20733 21101 50037 62199 63303 89843 150111 189909 269529 274313 808587 822939 2468817 8866813 26600439 27072583 79801317 81217749 115268569 145829011 243653247 345805707 351943579 437487033 1037417121 1055830737 1312461099 1895777143 3167492211 5687331429 17061994287 187098621113 561295863339 1683887590017 2432282074469 7296846223407 21890538670221