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83018227146858 = 232313725733147269
BaseRepresentation
bin10010111000000100101111…
…111100000110000001101010
3101212221110112222201022000100
4102320010233330012001222
541340132312122144413
6452322014055050230
723325604026430323
oct2270045774060152
9355843488638010
1083018227146858
11244a7917a42053
1293895a4370976
13374277b993103
14167016452544a
1598e764453a73
hex4b812ff0606a

83018227146858 has 192 divisors, whose sum is σ = 192017837306880. Its totient is φ = 25875940147200.

The previous prime is 83018227146781. The next prime is 83018227146887. The reversal of 83018227146858 is 85864172281038.

83018227146858 is a `hidden beast` number, since 8 + 30 + 1 + 8 + 22 + 71 + 468 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 83018227146795 and 83018227146804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756269648 + ... + 1756316916.

It is an arithmetic number, because the mean of its divisors is an integer number (1000092902640).

Almost surely, 283018227146858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83018227146858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96008918653440).

83018227146858 is an abundant number, since it is smaller than the sum of its proper divisors (108999610160022).

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

83018227146858 is a wasteful number, since it uses less digits than its factorization.

83018227146858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47933 (or 47930 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 83018227146858 in words is "eighty-three trillion, eighteen billion, two hundred twenty-seven million, one hundred forty-six thousand, eight hundred fifty-eight".