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31917784009905 = 33517139498720063
BaseRepresentation
bin1110100000111011100000…
…01011011000110010110001
311012000022101020122120112000
413100131300023120302301
513140420110201304110
6151514454430124213
76502661304455163
oct720356013306261
9135008336576460
1031917784009905
11a19628aa84692
1236b5a69350669
1314a6aac72bc71
147c4b86a60933
153a53c4ead1c0
hex1d07702d8cb1

31917784009905 has 128 divisors (see below), whose sum is σ = 60527919513600. Its totient is φ = 15902231288832.

The previous prime is 31917784009897. The next prime is 31917784009921. The reversal of 31917784009905 is 50990048771913.

It is not a de Polignac number, because 31917784009905 - 23 = 31917784009897 is a prime.

It is a super-2 number, since 2×319177840099052 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1590867904 + ... + 1590887966.

It is an arithmetic number, because the mean of its divisors is an integer number (472874371200).

Almost surely, 231917784009905 is an apocalyptic number.

It is an amenable number.

31917784009905 is a deficient number, since it is larger than the sum of its proper divisors (28610135503695).

31917784009905 is a wasteful number, since it uses less digits than its factorization.

31917784009905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220 (or 25214 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 31917784009905 in words is "thirty-one trillion, nine hundred seventeen billion, seven hundred eighty-four million, nine thousand, nine hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 139 153 255 417 459 695 765 1251 2085 2295 2363 3753 4987 6255 7089 11815 14961 18765 20063 21267 24935 35445 44883 60189 63801 74805 84779 100315 106335 134649 180567 224415 254337 300945 319005 341071 423895 541701 673245 693193 763011 902835 1023213 1271685 1705355 2079579 2289033 2708505 2788757 3069639 3465965 3815055 5116065 6238737 8366271 9208917 10397895 11445165 11784281 13943785 15348195 18716211 25098813 31193685 35352843 41831355 46044585 47408869 58921405 75296439 93581055 100054181 106058529 125494065 142226607 176764215 237044345 300162543 318175587 376482195 426679821 500270905 530292645 711133035 900487629 1280039463 1500812715 1590877935 1700921077 2133399105 2701462887 4502438145 5102763231 6400197315 8504605385 13507314435 13907531159 15308289693 25513816155 41722593477 45924869079 69537655795 76541448465 125167780431 208612967385 229624345395 236428029703 375503341293 625838902155 709284089109 1182140148515 1877516706465 2127852267327 3546420445545 6383556801981 10639261336635 31917784009905