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9820617393 = 343679771163
BaseRepresentation
bin10010010010101101…
…01011101010110001
3221100102020001110010
421021112223222301
5130103034224033
64302253525133
7465235604406
oct111126535261
927312201403
109820617393
11418a534224
121aa0aa37a9
13c067a1612
146923ca2ad
153c7277863
hex2495abab1

9820617393 has 32 divisors (see below), whose sum is σ = 13624275456. Its totient is φ = 6287516928.

The previous prime is 9820617337. The next prime is 9820617439. The reversal of 9820617393 is 3937160289.

9820617393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9820617393 - 26 = 9820617329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9820617593) 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 31 ways as a sum of consecutive naturals, for example, 8443630 + ... + 8444792.

It is an arithmetic number, because the mean of its divisors is an integer number (425758608).

Almost surely, 29820617393 is an apocalyptic number.

It is an amenable number.

9820617393 is a deficient number, since it is larger than the sum of its proper divisors (3803658063).

9820617393 is a wasteful number, since it uses less digits than its factorization.

9820617393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253.

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 9820617393 is about 99099.0282142060. The cubic root of 9820617393 is about 2141.4746142011.

The spelling of 9820617393 in words is "nine billion, eight hundred twenty million, six hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 3 43 67 129 201 977 1163 2881 2931 3489 8643 42011 50009 65459 77921 126033 150027 196377 233763 1136251 2814737 3350603 3408753 8444211 10051809 48858793 76128817 146576379 228386451 3273539131 9820617393