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81387956223 = 377411271021
BaseRepresentation
bin100101111001100011…
…0011010011111111111
321210002001210120000000
41023303012122133333
52313140304044343
6101220014205343
75610604133130
oct1136306323777
9253061716000
1081387956223
113157541a142
12139347b3853
1378a08576a2
143d21233c87
1521b5284ed3
hex12f319a7ff

81387956223 has 128 divisors (see below), whose sum is σ = 144169697280. Its totient is φ = 44971718400.

The previous prime is 81387956213. The next prime is 81387956231. The reversal of 81387956223 is 32265978318.

81387956223 is a `hidden beast` number, since 8 + 1 + 3 + 8 + 7 + 9 + 5 + 622 + 3 = 666.

It is not a de Polignac number, because 81387956223 - 25 = 81387956191 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81387956223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81387956203) 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, 79713453 + ... + 79714473.

It is an arithmetic number, because the mean of its divisors is an integer number (1126325760).

Almost surely, 281387956223 is an apocalyptic number.

81387956223 is a deficient number, since it is larger than the sum of its proper divisors (62781741057).

81387956223 is a wasteful number, since it uses less digits than its factorization.

81387956223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1199 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 81387956223 in words is "eighty-one billion, three hundred eighty-seven million, nine hundred fifty-six thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 41 63 81 123 127 189 243 287 369 381 567 729 861 889 1021 1107 1143 1701 2187 2583 2667 3063 3321 3429 5103 5207 7147 7749 8001 9189 9963 10287 15309 15621 21441 23247 24003 27567 29889 30861 36449 41861 46863 64323 69741 72009 82701 89667 92583 109347 125583 129667 140589 192969 209223 216027 248103 277749 293027 328041 376749 389001 421767 578907 627669 648081 744309 879081 907669 984123 1130247 1167003 1265301 1736721 1944243 2232927 2637243 2723007 2952369 3390741 3501009 3795903 5210163 5316347 7911729 8169021 8857107 10172223 10503027 11387709 15630489 15949041 23735187 24507063 26571321 30516669 31509081 37214429 47847123 71205561 73521189 79713963 91550007 94527243 111643287 143541369 213616683 220563567 283581729 334929861 430624107 640850049 661690701 1004789583 1291872321 1985072103 3014368749 3875616963 9043106247 11626850889 27129318741 81387956223