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81366758592 = 2637347174469
BaseRepresentation
bin100101111000111010…
…1100011010011000000
321210000120220121022120
41023301311203103000
52313114342233332
6101213540004240
75610226015350
oct1136165432300
9253016817276
1081366758592
1131564461039
1213929690680
137899345102
143d1c4b6b60
1521b349932c
hex12f1d634c0

81366758592 has 112 divisors (see below), whose sum is σ = 246748035840. Its totient is φ = 23180516352.

The previous prime is 81366758569. The next prime is 81366758593. The reversal of 81366758592 is 29585766318.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (81366758593) 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 15 ways as a sum of consecutive naturals, for example, 379134 + ... + 553602.

Almost surely, 281366758592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81366758592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123374017920).

81366758592 is an abundant number, since it is smaller than the sum of its proper divisors (165381277248).

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

81366758592 is a wasteful number, since it uses less digits than its factorization.

81366758592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174838 (or 174828 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 60.

The spelling of 81366758592 in words is "eighty-one billion, three hundred sixty-six million, seven hundred fifty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 347 448 672 694 1041 1344 1388 2082 2429 2776 4164 4858 5552 7287 8328 9716 11104 14574 16656 19432 22208 29148 33312 38864 58296 66624 77728 116592 155456 174469 233184 348938 466368 523407 697876 1046814 1221283 1395752 2093628 2442566 2791504 3663849 4187256 4885132 5583008 7327698 8374512 9770264 11166016 14655396 16749024 19540528 29310792 33498048 39081056 58621584 60540743 78162112 117243168 121081486 181622229 234486336 242162972 363244458 423785201 484325944 726488916 847570402 968651888 1271355603 1452977832 1695140804 1937303776 2542711206 2905955664 3390281608 3874607552 5085422412 5811911328 6780563216 10170844824 11623822656 13561126432 20341689648 27122252864 40683379296 81366758592