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9323039393664 = 273233104200637
BaseRepresentation
bin1000011110101011000001…
…1100111000011110000000
31020000021101122102022121220
42013222300130320132000
52210222041041044124
631454540053515040
71651365415211553
oct207526034703600
936007348368556
109323039393664
112a74973760937
121066a4b042a80
1352820ac912c9
14243347a4c69a
151127a887c879
hex87ab0738780

9323039393664 has 64 divisors (see below), whose sum is σ = 24870608277840. Its totient is φ = 3094342086656.

The previous prime is 9323039393651. The next prime is 9323039393683. The reversal of 9323039393664 is 4663939303239.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 9323039393598 and 9323039393607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52010847 + ... + 52189790.

Almost surely, 29323039393664 is an apocalyptic number.

It is an amenable number.

9323039393664 is an abundant number, since it is smaller than the sum of its proper divisors (15547568884176).

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

9323039393664 is a wasteful number, since it uses less digits than its factorization.

9323039393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104200887 (or 104200875 counting only the distinct ones).

The product of its (nonzero) digits is 51018336, while the sum is 60.

The spelling of 9323039393664 in words is "nine trillion, three hundred twenty-three billion, thirty-nine million, three hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 384 466 699 932 1398 1864 2796 3728 5592 7456 11184 14912 22368 29824 44736 89472 104200637 208401274 312601911 416802548 625203822 833605096 1250407644 1667210192 2500815288 3334420384 5001630576 6668840768 10003261152 13337681536 20006522304 24278748421 40013044608 48557496842 72836245263 97114993684 145672490526 194229987368 291344981052 388459974736 582689962104 776919949472 1165379924208 1553839898944 2330759848416 3107679797888 4661519696832 9323039393664