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58343106906 = 23272330616577
BaseRepresentation
bin110110010101100001…
…010010100101011010
312120121000211220201100
4312111201102211122
51423441313410111
642445155132230
74133540140410
oct662541224532
9176530756640
1058343106906
112281a187827
12b382ba4076
13566a3c4686
142b767cd2b0
1517b7066756
hexd9585295a

58343106906 has 96 divisors (see below), whose sum is σ = 150822067968. Its totient is φ = 15937067520.

The previous prime is 58343106851. The next prime is 58343106911. The reversal of 58343106906 is 60960134385.

58343106906 is a `hidden beast` number, since 583 + 4 + 3 + 1 + 0 + 69 + 0 + 6 = 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 47 ways as a sum of consecutive naturals, for example, 8867490 + ... + 8874066.

It is an arithmetic number, because the mean of its divisors is an integer number (1571063208).

Almost surely, 258343106906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58343106906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75411033984).

58343106906 is an abundant number, since it is smaller than the sum of its proper divisors (92478961062).

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

58343106906 is a wasteful number, since it uses less digits than its factorization.

58343106906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9676 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 58343106906 in words is "fifty-eight billion, three hundred forty-three million, one hundred six thousand, nine hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 3061 6122 6577 9183 13154 18366 19731 21427 27549 39462 42854 46039 55098 59193 64281 70403 92078 118386 128562 138117 140806 151271 192843 211209 276234 302542 385686 414351 422418 453813 492821 633627 828702 907626 985642 1058897 1267254 1361439 1478463 2117794 2722878 2956926 3176691 4435389 6353382 8870778 9530073 19060146 20132197 40264394 60396591 120793182 140925379 181189773 281850758 362379546 422776137 463040531 845552274 926081062 1268328411 1389121593 2536656822 2778243186 3241283717 4167364779 6482567434 8334729558 9723851151 19447702302 29171553453 58343106906