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20421120506445 = 34510119711632179
BaseRepresentation
bin1001010010010101010011…
…01000100011101001001101
32200022020110222222202210000
410221022221220203221031
510134034423322201240
6111233155552034513
74205243255201301
oct451125150435115
980266428882700
1020421120506445
11656360416a53a
1223598bbb32a39
13b5191b4aa469
1450855d461d01
15256300a82430
hex1292a9a23a4d

20421120506445 has 160 divisors (see below), whose sum is σ = 37205869345920. Its totient is φ = 10714547289600.

The previous prime is 20421120506441. The next prime is 20421120506471. The reversal of 20421120506445 is 54460502112402.

20421120506445 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 1 + 1 + 2 + 0 + 5 + 0 + 644 + 5 = 666.

It is not a de Polignac number, because 20421120506445 - 22 = 20421120506441 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20421120506441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9371784366 + ... + 9371786544.

It is an arithmetic number, because the mean of its divisors is an integer number (232536683412).

Almost surely, 220421120506445 is an apocalyptic number.

It is an amenable number.

20421120506445 is a deficient number, since it is larger than the sum of its proper divisors (16784748839475).

20421120506445 is a wasteful number, since it uses less digits than its factorization.

20421120506445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 20421120506445 its reverse (54460502112402), we get a palindrome (74881622618847).

The spelling of 20421120506445 in words is "twenty trillion, four hundred twenty-one billion, one hundred twenty million, five hundred six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 101 135 197 303 405 505 591 909 985 1163 1515 1773 2179 2727 2955 3489 4545 5319 5815 6537 8181 8865 10467 10895 13635 15957 17445 19611 19897 26595 31401 32685 40905 52335 58833 59691 79785 94203 98055 99485 117463 157005 176499 179073 220079 229111 294165 298455 352389 429263 471015 537219 587315 660237 687333 882495 895365 1057167 1100395 1145555 1287789 1611657 1761945 1980711 2061999 2146315 2534177 2686095 3171501 3301185 3436665 3863367 5285835 5942133 6185997 6438945 7602531 8058285 9514503 9903555 10309995 11590101 12670885 15857505 17826399 18557991 19316835 22807593 23140211 29710665 30929985 34770303 38012655 43355563 47572515 57950505 68422779 69420633 89131995 92789955 114037965 115701055 130066689 173851515 205268337 208261899 216777815 255951877 342113895 347103165 390200067 499232869 624785697 650333445 767855631 1026341685 1041309495 1170600201 1279759385 1497698607 1874357091 1951000335 2303566893 2496164345 3123928485 3511800603 3839278155 4493095821 5853001005 6910700679 7488493035 9371785455 11517834465 13479287463 17559003015 20732102037 22465479105 34553503395 40437862389 50422519769 67396437315 103660510185 151267559307 202189311945 252112598845 453802677921 756337796535 1361408033763 2269013389605 4084224101289 6807040168815 20421120506445