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81165437640001 = 11133173301183299
BaseRepresentation
bin10010011101000111001101…
…000101000001110101000001
3101122101100011220101022220001
4102131013031011001311001
541114303304013440001
6444342515353520001
723045003131450411
oct2235071505016501
9348340156338801
1081165437640001
1123953083629650
12912a4a4a13001
133639b38ab6120
1416085dcb74641
1595b4751e0001
hex49d1cd141d41

81165437640001 has 64 divisors (see below), whose sum is σ = 99813882470400. Its totient is φ = 64988433216000.

The previous prime is 81165437639977. The next prime is 81165437640017. The reversal of 81165437640001 is 10004673456118.

It is a cyclic number.

It is not a de Polignac number, because 81165437640001 - 27 = 81165437639873 is a prime.

It is a super-2 number, since 2×811654376400012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81165437640101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 974345050 + ... + 974428348.

It is an arithmetic number, because the mean of its divisors is an integer number (1559591913600).

Almost surely, 281165437640001 is an apocalyptic number.

It is an amenable number.

81165437640001 is a deficient number, since it is larger than the sum of its proper divisors (18648444830399).

81165437640001 is a wasteful number, since it uses less digits than its factorization.

81165437640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86438.

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 81165437640001 in words is "eighty-one trillion, one hundred sixty-five billion, four hundred thirty-seven million, six hundred forty thousand, one".

Divisors: 1 11 13 31 73 143 341 403 803 949 2263 3011 4433 10439 24893 29419 33121 39143 83299 93341 219803 323609 430573 916289 1026751 1082887 1213433 2417833 2582269 2857439 6080827 6813893 11911757 13347763 28404959 31431829 33569497 66889097 74952823 79050751 88580609 188505637 250813289 369264467 869558261 974386699 2073562007 2450573281 2758946179 3260572757 7775211959 18309370097 26956306091 35866300327 85527331549 101077755467 201403071067 238021811261 567590473007 1111855310137 2618239923871 6243495203077 7378676149091 81165437640001