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320745806832 = 24311349910061
BaseRepresentation
bin1001010101011011111…
…00001001101111110000
31010122220022211012122010
410222231330021233300
520223341411304312
6403203143442520
732113244242233
oct4525574115760
91118808735563
10320745806832
11114033712000
12521b5156440
1324327b93559
141174a4c741a
158523b4993c
hex4aadf09bf0

320745806832 has 160 divisors (see below), whose sum is σ = 913307616000. Its totient is φ = 96991276800.

The previous prime is 320745806789. The next prime is 320745806833. The reversal of 320745806832 is 238608547023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320745806833) 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, 31875082 + ... + 31885142.

It is an arithmetic number, because the mean of its divisors is an integer number (5708172600).

Almost surely, 2320745806832 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 320745806832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456653808000).

320745806832 is an abundant number, since it is smaller than the sum of its proper divisors (592561809168).

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

320745806832 is a wasteful number, since it uses less digits than its factorization.

320745806832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10604 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 320745806832 in words is "three hundred twenty billion, seven hundred forty-five million, eight hundred six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 499 528 726 968 998 1331 1452 1497 1936 1996 2662 2904 2994 3992 3993 5324 5489 5808 5988 7984 7986 10061 10648 10978 11976 15972 16467 20122 21296 21956 23952 30183 31944 32934 40244 43912 60366 60379 63888 65868 80488 87824 110671 120732 120758 131736 160976 181137 221342 241464 241516 263472 332013 362274 442684 482928 483032 664026 664169 724548 885368 966064 1217381 1328052 1328338 1449096 1770736 1992507 2434762 2656104 2656676 2898192 3652143 3985014 4869524 5020439 5312208 5313352 7304286 7970028 9739048 10040878 10626704 13391191 14608572 15061317 15940056 19478096 20081756 26782382 29217144 30122634 31880112 40163512 40173573 53564764 55224829 58434288 60245268 80327024 80347146 107129528 110449658 120490536 160694292 165674487 214259056 220899316 240981072 321388584 331348974 441798632 607473119 642777168 662697948 883597264 1214946238 1325395896 1822419357 2429892476 2650791792 3644838714 4859784952 6682204309 7289677428 9719569904 13364408618 14579354856 20046612927 26728817236 29158709712 40093225854 53457634472 80186451708 106915268944 160372903416 320745806832