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20381583821577 = 3118997503142231
BaseRepresentation
bin1001010001001011101010…
…00100000100101100001001
32200011110102121202002011020
410220211311010010230021
510132412440424242302
6111203100443423053
74202343435004416
oct450456504045411
980143377662136
1020381583821577
1165488657a1a70
122352107224a89
13b4ac8a407384
1450668c61b10d
15255289ab8ebc
hex128975104b09

20381583821577 has 64 divisors (see below), whose sum is σ = 30348531118080. Its totient is φ = 12063652761600.

The previous prime is 20381583821549. The next prime is 20381583821597. The reversal of 20381583821577 is 77512838518302.

It is a happy number.

It is not a de Polignac number, because 20381583821577 - 28 = 20381583821321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20381583821577.

It is not an unprimeable number, because it can be changed into a prime (20381583821507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143228052 + ... + 143370282.

It is an arithmetic number, because the mean of its divisors is an integer number (474195798720).

Almost surely, 220381583821577 is an apocalyptic number.

It is an amenable number.

20381583821577 is a deficient number, since it is larger than the sum of its proper divisors (9966947296503).

20381583821577 is a wasteful number, since it uses less digits than its factorization.

20381583821577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142934.

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 20381583821577 in words is "twenty trillion, three hundred eighty-one billion, five hundred eighty-three million, eight hundred twenty-one thousand, five hundred seventy-seven".

Divisors: 1 3 11 33 89 97 267 291 503 979 1067 1509 2937 3201 5533 8633 16599 25899 44767 48791 94963 134301 142231 146373 284889 426693 492437 536701 1477311 1564541 1610103 4342399 4693623 12658559 13027197 13796407 37975677 41389221 47766389 71542193 139244149 143299167 151760477 214626579 417732447 455281431 786964123 1227880223 2360892369 3683640669 6367255177 6939592721 13506682453 19101765531 20818778163 40520047359 70039806947 76335519931 210119420841 229006559793 617623752169 1852871256507 6793861273859 20381583821577