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81439852968 = 233229103137831
BaseRepresentation
bin100101111011000110…
…0011000100110101000
321210012200110011221200
41023312030120212220
52313242100243333
6101225110404200
75612104220445
oct1136614304650
9253180404850
1081439852968
11315a1745a11
121394a060660
1378ab528216
143d280a29cc
1521b9ad6c13
hex12f63189a8

81439852968 has 96 divisors (see below), whose sum is σ = 228399350400. Its totient is φ = 26184412800.

The previous prime is 81439852889. The next prime is 81439852987. The reversal of 81439852968 is 86925893418.

81439852968 is a `hidden beast` number, since 8 + 1 + 43 + 9 + 8 + 529 + 68 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2133813 + ... + 2171643.

It is an arithmetic number, because the mean of its divisors is an integer number (2379159900).

Almost surely, 281439852968 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 81439852968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114199675200).

81439852968 is an abundant number, since it is smaller than the sum of its proper divisors (146959497432).

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

81439852968 is a wasteful number, since it uses less digits than its factorization.

81439852968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38903 (or 38896 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 81439852968 in words is "eighty-one billion, four hundred thirty-nine million, eight hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1031 1044 2062 2088 3093 4124 6186 8248 9279 12372 18558 24744 29899 37116 37831 59798 74232 75662 89697 113493 119596 151324 179394 226986 239192 269091 302648 340479 358788 453972 538182 680958 717576 907944 1076364 1097099 1361916 2152728 2194198 2723832 3291297 4388396 6582594 8776792 9873891 13165188 19747782 26330376 39003761 39495564 78007522 78991128 117011283 156015044 234022566 312030088 351033849 468045132 702067698 936090264 1131109069 1404135396 2262218138 2808270792 3393327207 4524436276 6786654414 9048872552 10179981621 13573308828 20359963242 27146617656 40719926484 81439852968