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81281242416 = 243111200712821
BaseRepresentation
bin100101110110010111…
…1010101010100110000
321202210121222221011210
41023230233111110300
52312430444224131
6101201243040120
75605140106143
oct1135457252460
9252717887153
1081281242416
1131520162510
1213904b10040
13788470301a
143d10db605a
1521aac06146
hex12ecbd5530

81281242416 has 80 divisors (see below), whose sum is σ = 229102265088. Its totient is φ = 24626707200.

The previous prime is 81281242411. The next prime is 81281242423. The reversal of 81281242416 is 61424218218.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (81281242411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6333286 + ... + 6346106.

Almost surely, 281281242416 is an apocalyptic number.

It is an amenable number.

81281242416 is an abundant number, since it is smaller than the sum of its proper divisors (147821022672).

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

81281242416 is a wasteful number, since it uses less digits than its factorization.

81281242416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24850 (or 24844 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The spelling of 81281242416 in words is "eighty-one billion, two hundred eighty-one million, two hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 12007 12821 24014 25642 36021 38463 48028 51284 72042 76926 96056 102568 132077 141031 144084 153852 192112 205136 264154 282062 288168 307704 396231 423093 528308 564124 576336 615408 792462 846186 1056616 1128248 1584924 1692372 2113232 2256496 3169848 3384744 6339696 6769488 153941747 307883494 461825241 615766988 923650482 1231533976 1693359217 1847300964 2463067952 3386718434 3694601928 5080077651 6773436868 7389203856 10160155302 13546873736 20320310604 27093747472 40640621208 81281242416