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81814343872 = 266143947737
BaseRepresentation
bin100110000110010000…
…0111101000011000000
321211011210010021220011
41030030200331003000
52320023433000442
6101330205154304
75624302306612
oct1141440750300
9254153107804
1081814343872
1131774078528
1213a3355b994
13793aca7981
143d61b06db2
1521dc90c117
hex130c83d0c0

81814343872 has 56 divisors (see below), whose sum is σ = 165391165280. Its totient is φ = 40144066560.

The previous prime is 81814343869. The next prime is 81814343879. The reversal of 81814343872 is 27834341818.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (81814343879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1689988 + ... + 1737724.

Almost surely, 281814343872 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 81814343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82695582640).

81814343872 is an abundant number, since it is smaller than the sum of its proper divisors (83576821408).

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

81814343872 is a wasteful number, since it uses less digits than its factorization.

81814343872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48249 (or 48239 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The spelling of 81814343872 in words is "eighty-one billion, eight hundred fourteen million, three hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 439 488 878 976 1756 1952 3512 3904 7024 14048 26779 28096 47737 53558 95474 107116 190948 214232 381896 428464 763792 856928 1527584 1713856 2911957 3055168 5823914 11647828 20956543 23295656 41913086 46591312 83826172 93182624 167652344 186365248 335304688 670609376 1278349123 1341218752 2556698246 5113396492 10226792984 20453585968 40907171936 81814343872