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81742522160 = 24513103763093
BaseRepresentation
bin100110000100000111…
…0111110011100110000
321210222202222101000202
41030020032332130300
52314402041202120
6101315121534332
75622440655065
oct1141016763460
9253882871022
1081742522160
1131737582842
1213a134a43a8
13792914bc10
143d5636cc6c
1521d6471875
hex13083be730

81742522160 has 80 divisors (see below), whose sum is σ = 206658064704. Its totient is φ = 29888787456.

The previous prime is 81742522139. The next prime is 81742522163. The reversal of 81742522160 is 6122524718.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (81742522163) by changing a digit.

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, 274427 + ... + 488666.

Almost surely, 281742522160 is an apocalyptic number.

81742522160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81742522160 is an abundant number, since it is smaller than the sum of its proper divisors (124915542544).

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

81742522160 is a wasteful number, since it uses less digits than its factorization.

81742522160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763222 (or 763216 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 81742522160 in words is "eighty-one billion, seven hundred forty-two million, five hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 103 104 130 206 208 260 412 515 520 824 1030 1040 1339 1648 2060 2678 4120 5356 6695 8240 10712 13390 21424 26780 53560 107120 763093 1526186 3052372 3815465 6104744 7630930 9920209 12209488 15261860 19840418 30523720 39680836 49601045 61047440 78598579 79361672 99202090 157197158 158723344 198404180 314394316 392992895 396808360 628788632 785985790 793616720 1021781527 1257577264 1571971580 2043563054 3143943160 4087126108 5108907635 6287886320 8174252216 10217815270 16348504432 20435630540 40871261080 81742522160