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82389516288 = 21436127479
BaseRepresentation
bin100110010111011001…
…1000100000000000000
321212122212102002010020
41030232303010000000
52322213204010123
6101503233133440
75644455222252
oct1145663040000
9255585362106
1082389516288
1131a39809032
1213b740ba280
137a001bc991
143db8269cd2
1522231737e3
hex132ecc4000

82389516288 has 120 divisors (see below), whose sum is σ = 223308415680. Its totient is φ = 27011973120.

The previous prime is 82389516283. The next prime is 82389516301. The reversal of 82389516288 is 88261598328.

It is not an unprimeable number, because it can be changed into a prime (82389516283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2984533 + ... + 3012011.

It is an arithmetic number, because the mean of its divisors is an integer number (1860903464).

Almost surely, 282389516288 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 82389516288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111654207840).

82389516288 is an abundant number, since it is smaller than the sum of its proper divisors (140918899392).

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

82389516288 is an equidigital number, since it uses as much as digits as its factorization.

82389516288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27571 (or 27545 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 60.

The spelling of 82389516288 in words is "eighty-two billion, three hundred eighty-nine million, five hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2048 2928 3072 3904 4096 5856 6144 7808 8192 11712 12288 15616 16384 23424 24576 27479 31232 46848 49152 54958 62464 82437 93696 109916 124928 164874 187392 219832 249856 329748 374784 439664 499712 659496 749568 879328 999424 1318992 1499136 1676219 1758656 2637984 2998272 3352438 3517312 5028657 5275968 6704876 7034624 10057314 10551936 13409752 14069248 20114628 21103872 26819504 28138496 40229256 42207744 53639008 56276992 80458512 84415488 107278016 112553984 160917024 168830976 214556032 225107968 321834048 337661952 429112064 450215936 643668096 675323904 858224128 1287336192 1350647808 1716448256 2574672384 3432896512 5149344768 6865793024 10298689536 13731586048 20597379072 27463172096 41194758144 82389516288