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13821141565 = 5711671373911
BaseRepresentation
bin11001101111100110…
…11110001000111101
31022200012220201221001
430313303132020331
5211301203012230
610203243010301
7666333523240
oct146763361075
938605821831
1013821141565
115952746250
122818809991
1313c354779a
14951839257
1555d5a30ca
hex337cde23d

13821141565 has 64 divisors (see below), whose sum is σ = 21145079808. Its totient is φ = 8423078400.

The previous prime is 13821141541. The next prime is 13821141599. The reversal of 13821141565 is 56514112831.

It is not a de Polignac number, because 13821141565 - 213 = 13821133373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3531960 + ... + 3535870.

It is an arithmetic number, because the mean of its divisors is an integer number (330391872).

Almost surely, 213821141565 is an apocalyptic number.

It is an amenable number.

13821141565 is a deficient number, since it is larger than the sum of its proper divisors (7323938243).

13821141565 is a wasteful number, since it uses less digits than its factorization.

13821141565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138.

The product of its digits is 28800, while the sum is 37.

It can be divided in two parts, 138211 and 41565, that added together give a square (179776 = 4242).

The spelling of 13821141565 in words is "thirteen billion, eight hundred twenty-one million, one hundred forty-one thousand, five hundred sixty-five".

Divisors: 1 5 7 11 35 55 67 77 137 335 385 469 685 737 959 1507 2345 3685 3911 4795 5159 7535 9179 10549 19555 25795 27377 43021 45895 52745 64253 100969 136885 215105 262037 301147 321265 504845 535807 706783 1310185 1505735 1834259 2679035 2882407 3533915 3750649 5893877 9171295 14412035 18753245 20176849 29469385 35899069 41257139 100884245 179495345 206285695 251293483 394889759 1256467415 1974448795 2764228313 13821141565