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81812380848 = 24311727213133
BaseRepresentation
bin100110000110001100…
…1011101110010110000
321211011122102120010120
41030030121131302300
52320022432141343
6101330055130240
75624246522532
oct1141431356260
9254148376116
1081812380848
1131772a576a0
1213a32973980
13793a76b313
143d61755852
1521dc670683
hex130c65dcb0

81812380848 has 80 divisors (see below), whose sum is σ = 230880389376. Its totient is φ = 24757413120.

The previous prime is 81812380789. The next prime is 81812380883. The reversal of 81812380848 is 84808321818.

It is a self number, because there is not a number n which added to its sum of digits gives 81812380848.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 277290 + ... + 490422.

Almost surely, 281812380848 is an apocalyptic number.

81812380848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81812380848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115440194688).

81812380848 is an abundant number, since it is smaller than the sum of its proper divisors (149068008528).

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

81812380848 is a wasteful number, since it uses less digits than its factorization.

81812380848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213882 (or 213876 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 51.

The spelling of 81812380848 in words is "eighty-one billion, eight hundred twelve million, three hundred eighty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 727 1454 2181 2908 4362 5816 7997 8724 11632 15994 17448 23991 31988 34896 47982 63976 95964 127952 191928 213133 383856 426266 639399 852532 1278798 1705064 2344463 2557596 3410128 4688926 5115192 7033389 9377852 10230384 14066778 18755704 28133556 37511408 56267112 112534224 154947691 309895382 464843073 619790764 929686146 1239581528 1704424601 1859372292 2479163056 3408849202 3718744584 5113273803 6817698404 7437489168 10226547606 13635396808 20453095212 27270793616 40906190424 81812380848