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21084362268021 = 3413187310690409
BaseRepresentation
bin1001100101101000101011…
…11011000101110101110101
32202122122102110101011220000
410302310111323011311311
510230421233220034041
6112502004452501513
74304203103150043
oct462642573056565
982578373334800
1021084362268021
116799911917598
12244635a31a899
13b9c329395c60
1452c6ba935393
152686bca4ebb6
hex132d15ec5d75

21084362268021 has 40 divisors (see below), whose sum is σ = 33937305207960. Its totient is φ = 12968063566848.

The previous prime is 21084362267977. The next prime is 21084362268031. The reversal of 21084362268021 is 12086226348012.

21084362268021 is a `hidden beast` number, since 2 + 1 + 0 + 8 + 4 + 362 + 268 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 273330296100 + 20811031971921 = 522810^2 + 4561911^2 .

It is not a de Polignac number, because 21084362268021 - 26 = 21084362267957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21084362268031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3372936 + ... + 7317473.

It is an arithmetic number, because the mean of its divisors is an integer number (848432630199).

Almost surely, 221084362268021 is an apocalyptic number.

It is an amenable number.

21084362268021 is a deficient number, since it is larger than the sum of its proper divisors (12852942939939).

21084362268021 is a wasteful number, since it uses less digits than its factorization.

21084362268021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692307 (or 10692298 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 21084362268021 in words is "twenty-one trillion, eighty-four billion, three hundred sixty-two million, two hundred sixty-eight thousand, twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 1873 5619 16857 24349 50571 73047 151713 219141 657423 1972269 10690409 32071227 96213681 138975317 288641043 416925951 865923129 1250777853 3752333559 11257000677 20023136057 60069408171 180208224513 260300768741 540624673539 780902306223 1621874020617 2342706918669 7028120756007 21084362268021