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81742779996801 = 371119122391521731
BaseRepresentation
bin10010100101100000111001…
…010111010101101010000001
3101201102112101212212212000220
4102211200321113111222001
541203233203134344201
6445504040440133253
723134502201510550
oct2245407127255201
9351375355785026
1081742779996801
1124055a11307490
12920236b767229
13367c407592761
14162852bba7d97
1596b4b5d27036
hex4a58395d5a81

81742779996801 has 64 divisors (see below), whose sum is σ = 143047677542400. Its totient is φ = 40225532558400.

The previous prime is 81742779996799. The next prime is 81742779996847. The reversal of 81742779996801 is 10869997724718.

It is not a de Polignac number, because 81742779996801 - 21 = 81742779996799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81742779996881) 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, 52956106 + ... + 54477836.

It is an arithmetic number, because the mean of its divisors is an integer number (2235119961600).

Almost surely, 281742779996801 is an apocalyptic number.

It is an amenable number.

81742779996801 is a deficient number, since it is larger than the sum of its proper divisors (61304897545599).

81742779996801 is a wasteful number, since it uses less digits than its factorization.

81742779996801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534010.

The product of its (nonzero) digits is 768144384, while the sum is 78.

The spelling of 81742779996801 in words is "eighty-one trillion, seven hundred forty-two billion, seven hundred seventy-nine million, nine hundred ninety-six thousand, eight hundred one".

Divisors: 1 3 7 11 19 21 33 57 77 133 209 231 399 627 1463 4389 12239 36717 85673 134629 232541 257019 403887 697623 942403 1521731 1627787 2557951 2827209 4565193 4883361 7673853 10652117 16739041 17905657 28912889 31956351 50217123 53716971 86738667 117173287 202390223 318041779 351519861 607170669 954125337 2226292453 6678877359 18624465709 55873397127 130371259963 204869122799 353864848471 391113779889 614607368397 1061594545413 1434083859593 2477053939297 3892513333181 4302251578779 7431161817891 11677539999543 27247593332267 81742779996801