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81810669831 = 311174143181457
BaseRepresentation
bin100110000110001001…
…0111100000100000111
321211011112012122001120
41030030102330010013
52320022012413311
6101325554325023
75624226135252
oct1141422740407
9254145178046
1081810669831
1131771a99130
1213a32289773
13793a2bc597
143d6142c099
1521dc433706
hex130c4bc107

81810669831 has 128 divisors (see below), whose sum is σ = 133092191232. Its totient is φ = 44126208000.

The previous prime is 81810669827. The next prime is 81810669859. The reversal of 81810669831 is 13896601818.

It is not a de Polignac number, because 81810669831 - 22 = 81810669827 is a prime.

It is a super-2 number, since 2×818106698312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81810669431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 179016555 + ... + 179017011.

It is an arithmetic number, because the mean of its divisors is an integer number (1039782744).

Almost surely, 281810669831 is an apocalyptic number.

81810669831 is a deficient number, since it is larger than the sum of its proper divisors (51281521401).

81810669831 is a wasteful number, since it uses less digits than its factorization.

81810669831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 497664, while the sum is 51.

The spelling of 81810669831 in words is "eighty-one billion, eight hundred ten million, six hundred sixty-nine thousand, eight hundred thirty-one".

Divisors: 1 3 11 17 33 41 43 51 123 129 181 187 451 457 473 543 561 697 731 1353 1371 1419 1763 1991 2091 2193 3077 5027 5289 5973 7421 7667 7769 7783 8041 9231 15081 18737 19393 19651 22263 23001 23307 23349 24123 29971 33847 56211 58179 58953 81631 82717 85459 85613 89913 101541 126157 132311 206107 216161 244893 248151 256377 256839 318529 319103 329681 334067 378471 396933 618321 648483 805691 909887 955587 957309 989043 1002201 1387727 1406189 1455421 2417073 2729661 3391397 3503819 3510133 3556831 3674737 4163181 4218567 4366263 5424751 8862601 10174191 10511457 10530399 10670493 11024211 13696747 15468079 16274253 26587803 37305367 39125141 41090241 46404237 57653749 59672261 60466127 111916101 117375423 145830071 150664217 172961247 179016783 181398381 437490213 451992651 634191239 665127397 1604130781 1902573717 1995382191 2479111207 4812392343 7437333621 27270223277 81810669831