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82803649488 = 2437937263009
BaseRepresentation
bin100110100011101111…
…0110110101111010000
321220201201200020001220
41031013132312233100
52324040213240423
6102012305325040
75660644256550
oct1150736665720
9256651606056
1082803649488
113213155747a
121406a936780
137a67c3c201
14401726d160
1522496c99e3
hex13477b6bd0

82803649488 has 80 divisors (see below), whose sum is σ = 244729752960. Its totient is φ = 23632846848.

The previous prime is 82803649471. The next prime is 82803649499. The reversal of 82803649488 is 88494630828.

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, 183328 + ... + 446336.

It is an arithmetic number, because the mean of its divisors is an integer number (3059121912).

Almost surely, 282803649488 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 82803649488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122364876480).

82803649488 is an abundant number, since it is smaller than the sum of its proper divisors (161926103472).

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

82803649488 is a wasteful number, since it uses less digits than its factorization.

82803649488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263964 (or 263958 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 60.

The spelling of 82803649488 in words is "eighty-two billion, eight hundred three million, six hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 937 1874 2811 3748 5622 6559 7496 11244 13118 14992 19677 22488 26236 39354 44976 52472 78708 104944 157416 263009 314832 526018 789027 1052036 1578054 1841063 2104072 3156108 3682126 4208144 5523189 6312216 7364252 11046378 12624432 14728504 22092756 29457008 44185512 88371024 246439433 492878866 739318299 985757732 1478636598 1725076031 1971515464 2957273196 3450152062 3943030928 5175228093 5914546392 6900304124 10350456186 11829092784 13800608248 20700912372 27601216496 41401824744 82803649488