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9720941806965 = 3537169710321279
BaseRepresentation
bin1000110101110101010101…
…0010001000010101110101
31021102022110011000020121110
42031131111102020111311
52233231442100310330
632401423343305233
72022213000006504
oct215352522102565
937368404006543
109720941806965
1131086a0253304
12110bb978ab219
135568b0b7808c
142586d33d283b
1511cce6038db0
hex8d755488575

9720941806965 has 32 divisors (see below), whose sum is σ = 15983286497280. Its totient is φ = 5041407596544.

The previous prime is 9720941806931. The next prime is 9720941806967. The reversal of 9720941806965 is 5696081490279.

It is not a de Polignac number, because 9720941806965 - 27 = 9720941806837 is a prime.

It is a super-3 number, since 3×97209418069653 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 9720941806896 and 9720941806905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9720941806967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4218805 + ... + 6102474.

It is an arithmetic number, because the mean of its divisors is an integer number (499477703040).

Almost surely, 29720941806965 is an apocalyptic number.

It is an amenable number.

9720941806965 is a deficient number, since it is larger than the sum of its proper divisors (6262344690315).

9720941806965 is a wasteful number, since it uses less digits than its factorization.

9720941806965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10323021.

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 9720941806965 in words is "nine trillion, seven hundred twenty billion, nine hundred forty-one million, eight hundred six thousand, nine hundred sixty-five".

Divisors: 1 3 5 15 37 111 185 555 1697 5091 8485 25455 62789 188367 313945 941835 10321279 30963837 51606395 154819185 381887323 1145661969 1909436615 5728309845 17515210463 52545631389 87576052315 262728156945 648062787131 1944188361393 3240313935655 9720941806965