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84146011029 = 3330497102191
BaseRepresentation
bin100111001011101111…
…1100011101110010101
322001012021120020221000
41032113133203232111
52334312334323104
6102353421013513
76036134202213
oct1162737435625
9261167506830
1084146011029
1132760258583
12143843b4299
137c20089892
144103659cb3
1522c7486639
hex13977e3b95

84146011029 has 16 divisors (see below), whose sum is σ = 124666064640. Its totient is φ = 56094952320.

The previous prime is 84146010947. The next prime is 84146011031. The reversal of 84146011029 is 92011064148.

84146011029 is a `hidden beast` number, since 8 + 4 + 14 + 601 + 10 + 29 = 666.

It is not a de Polignac number, because 84146011029 - 27 = 84146010901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84146010984 and 84146011002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84146011039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772324 + ... + 874514.

It is an arithmetic number, because the mean of its divisors is an integer number (7791629040).

Almost surely, 284146011029 is an apocalyptic number.

It is an amenable number.

84146011029 is a deficient number, since it is larger than the sum of its proper divisors (40520053611).

84146011029 is a wasteful number, since it uses less digits than its factorization.

84146011029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132697 (or 132691 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 84146011029 in words is "eighty-four billion, one hundred forty-six million, eleven thousand, twenty-nine".

Divisors: 1 3 9 27 30497 91491 102191 274473 306573 823419 919719 2759157 3116518927 9349556781 28048670343 84146011029