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89106744141 = 3419235942667
BaseRepresentation
bin101001011111100101…
…1010000001101001101
322112000000001121110000
41102333023100031031
52424442311303031
6104533550434513
76303101554032
oct1227713201515
9275000047400
1089106744141
1134876485808
1215329802a39
138530a4a50c
144454419389
1524b7c333e6
hex14bf2d034d

89106744141 has 80 divisors (see below), whose sum is σ = 148689446400. Its totient is φ = 52917445152.

The previous prime is 89106744079. The next prime is 89106744149. The reversal of 89106744141 is 14144760198.

It is not a de Polignac number, because 89106744141 - 229 = 88569873229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89106744149) 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 79 ways as a sum of consecutive naturals, for example, 2067090 + ... + 2109756.

It is an arithmetic number, because the mean of its divisors is an integer number (1858618080).

Almost surely, 289106744141 is an apocalyptic number.

89106744141 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

89106744141 is a deficient number, since it is larger than the sum of its proper divisors (59582702259).

89106744141 is a wasteful number, since it uses less digits than its factorization.

89106744141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42780 (or 42771 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 89106744141 in words is "eighty-nine billion, one hundred six million, seven hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 19 23 27 57 59 69 81 171 177 207 437 513 531 621 1121 1311 1357 1539 1593 1863 3363 3933 4071 4779 10089 11799 12213 25783 30267 35397 36639 42667 77349 90801 109917 128001 232047 384003 696141 810673 981341 1152009 2088423 2432019 2517353 2944023 3456027 7296057 7552059 8832069 18645479 21888171 22656177 26496207 47829707 55936437 57899119 65664513 67968531 79488621 143489121 167809311 173697357 203905593 430467363 503427933 521092071 1100083261 1291402089 1510283799 1563276213 3300249783 3874206267 4689828639 9900749349 29702248047 89106744141