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9965522053616 = 2429307347201611
BaseRepresentation
bin1001000100000100011101…
…1001101110100111110000
31022021200202100220002211012
42101001013121232213300
52301233342121203431
633110033031010052
72045661632546213
oct221010731564760
938250670802735
109965522053616
1131a2399442658
12114b475209928
1357398b13ba0c
142664960b977a
1512435d13522b
hex9104766e9f0

9965522053616 has 80 divisors (see below), whose sum is σ = 20096909965440. Its totient is φ = 4781427920640.

The previous prime is 9965522053481. The next prime is 9965522053651. The reversal of 9965522053616 is 6163502255699.

It is a super-2 number, since 2×99655220536162 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49328651 + ... + 49530261.

It is an arithmetic number, because the mean of its divisors is an integer number (251211374568).

Almost surely, 29965522053616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965522053616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10048454982720).

9965522053616 is an abundant number, since it is smaller than the sum of its proper divisors (10131387911824).

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

9965522053616 is a wasteful number, since it uses less digits than its factorization.

9965522053616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202302 (or 202296 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 59.

The spelling of 9965522053616 in words is "nine trillion, nine hundred sixty-five billion, five hundred twenty-two million, fifty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 58 116 232 307 347 464 614 694 1228 1388 2456 2776 4912 5552 8903 10063 17806 20126 35612 40252 71224 80504 106529 142448 161008 201611 213058 403222 426116 806444 852232 1612888 1704464 3089341 3225776 5846719 6178682 11693438 12357364 23386876 24714728 46773752 49429456 61894577 69959017 93547504 123789154 139918034 247578308 279836068 495156616 559672136 990313232 1119344272 1794942733 2028811493 3589885466 4057622986 7179770932 8115245972 14359541864 16230491944 21477418219 28719083728 32460983888 42954836438 85909672876 171819345752 343638691504 622845128351 1245690256702 2491380513404 4982761026808 9965522053616