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81809446446 = 2347135549413
BaseRepresentation
bin100110000110000111…
…0010001011000101110
321211011102220110220000
41030030032101120232
52320021204241241
6101325512205130
75624212551450
oct1141416213056
9254142813800
1081809446446
1131771332a72
1213a319997a6
137939c817a0
143d611d02d0
1521dc290eb6
hex130c39162e

81809446446 has 80 divisors (see below), whose sum is σ = 225616975584. Its totient is φ = 21576113856.

The previous prime is 81809446429. The next prime is 81809446447. The reversal of 81809446446 is 64464490818.

81809446446 is a `hidden beast` number, since 81 + 80 + 9 + 4 + 46 + 446 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 81809446392 and 81809446401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81809446447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759965 + ... + 2789448.

Almost surely, 281809446446 is an apocalyptic number.

81809446446 is an abundant number, since it is smaller than the sum of its proper divisors (143807529138).

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

81809446446 is a wasteful number, since it uses less digits than its factorization.

81809446446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549447 (or 5549438 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 81809446446 in words is "eighty-one billion, eight hundred nine million, four hundred forty-six thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1134 1638 2106 2457 4914 7371 14742 5549413 11098826 16648239 33296478 38845891 49944717 72142369 77691782 99889434 116537673 144284738 149834151 216427107 233075346 299668302 349613019 432854214 449502453 504996583 649281321 699226038 899004906 1009993166 1048839057 1298562642 1514989749 1947843963 2097678114 3029979498 3146517171 3895687926 4544969247 5843531889 6293034342 9089938494 11687063778 13634907741 27269815482 40904723223 81809446446