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81883913991 = 311175911321893
BaseRepresentation
bin100110001000010101…
…0010101111100000111
321211100122000211011020
41030100222111330013
52320144240221431
6101341132242223
75626105533135
oct1142052257407
9254318024136
1081883913991
11317aa3755a0
1213a52910373
13794c525919
143d6b056755
1521e3aa0696
hex1310a95f07

81883913991 has 64 divisors (see below), whose sum is σ = 129388285440. Its totient is φ = 45507338240.

The previous prime is 81883913987. The next prime is 81883913999. The reversal of 81883913991 is 19931938818.

It is a cyclic number.

It is not a de Polignac number, because 81883913991 - 22 = 81883913987 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81883913999) 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 63 ways as a sum of consecutive naturals, for example, 3729241 + ... + 3751133.

It is an arithmetic number, because the mean of its divisors is an integer number (2021691960).

Almost surely, 281883913991 is an apocalyptic number.

81883913991 is a deficient number, since it is larger than the sum of its proper divisors (47504371449).

81883913991 is a wasteful number, since it uses less digits than its factorization.

81883913991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22096.

The product of its digits is 3359232, while the sum is 60.

The spelling of 81883913991 in words is "eighty-one billion, eight hundred eighty-three million, nine hundred thirteen thousand, nine hundred ninety-one".

Divisors: 1 3 11 17 33 51 59 113 177 187 339 561 649 1003 1243 1921 1947 3009 3729 5763 6667 11033 20001 21131 21893 33099 63393 65679 73337 113339 220011 240823 340017 372181 722469 1116543 1246729 1291687 2473909 3740187 3875061 4093991 7421727 12281973 14208557 21958679 27212999 42056453 42625671 65876037 81638997 126169359 145960631 241545469 437881893 462620983 724636407 1387862949 1605566941 2481330727 4816700823 7443992181 27294637997 81883913991