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20585594442465 = 3451317911252463
BaseRepresentation
bin1001010111000111101010…
…00010110101001011100001
32200212222000110201102020000
410223203311002311023201
510144233244134124330
6111440520323210213
74223155135451613
oct453436502651341
980788013642200
1020585594442465
116617335440a88
122385761b16969
13b642a05c62b0
145124c3218db3
1525a72a1b0560
hex12b8f50b52e1

20585594442465 has 160 divisors (see below), whose sum is σ = 42124179879936. Its totient is φ = 9527794698240.

The previous prime is 20585594442451. The next prime is 20585594442473. The reversal of 20585594442465 is 56424449558502.

20585594442465 is a `hidden beast` number, since 2 + 0 + 5 + 85 + 5 + 94 + 4 + 4 + 2 + 465 = 666.

It is not a de Polignac number, because 20585594442465 - 26 = 20585594442401 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81412824 + ... + 81665286.

Almost surely, 220585594442465 is an apocalyptic number.

It is an amenable number.

20585594442465 is an abundant number, since it is smaller than the sum of its proper divisors (21538585437471).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20585594442465 is a wasteful number, since it uses less digits than its factorization.

20585594442465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253421 (or 253412 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 63.

The spelling of 20585594442465 in words is "twenty trillion, five hundred eighty-five billion, five hundred ninety-four million, four hundred forty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 351 405 459 585 663 765 911 1053 1105 1377 1755 1989 2295 2733 3315 4555 5265 5967 6885 8199 9945 11843 13665 15487 17901 24597 29835 35529 40995 46461 59215 73791 77435 89505 106587 122985 139383 177645 201331 232305 252463 319761 368955 418149 532935 603993 696915 757389 959283 1006655 1254447 1262315 1598805 1811979 2090745 2272167 3019965 3282019 3786945 4291871 4796415 5435937 6272235 6816501 9059895 9846057 11360835 12875613 16307811 16410095 20449503 21459355 27179685 29538171 34082505 38626839 49230285 55794323 64378065 81539055 88614513 102247515 115880517 147690855 167382969 193134195 229993793 265843539 278971615 347641551 443072565 502148907 579402585 689981379 836914845 1149968965 1329217695 1506446721 1738207755 2069944137 2510744535 2989919309 3449906895 3909894481 4519340163 6209832411 7532233605 8969757927 10349720685 11729683443 14949596545 18629497233 19549472405 22596700815 26909273781 31049162055 35189050329 44848789635 50828628253 58648417215 80727821343 93147486165 105567150987 134546368905 152485884759 175945251645 242183464029 254143141265 316701452961 403639106715 457457654277 527835754935 762429423795 1210917320145 1372372962831 1583507264805 2287288271385 4117118888493 6861864814155 20585594442465