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58416202161780 = 22354123746423643
BaseRepresentation
bin11010100100001000101001…
…11110101001111001110100
321122211112102120100010121220
431102010110332221321310
530124042340223134110
6324124011030110340
715206300642431551
oct1522042476517164
9248745376303556
1058416202161780
1117682199238671
12667554baab3b0
132679816571938
14105d505ba3a28
156b4815ae9370
hex352114fa9e74

58416202161780 has 48 divisors (see below), whose sum is σ = 167554765232064. Its totient is φ = 15197711130880.

The previous prime is 58416202161743. The next prime is 58416202161781. The reversal of 58416202161780 is 8716120261485.

It is a happy number.

58416202161780 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58416202161781) 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, 11873209362 + ... + 11873214281.

It is an arithmetic number, because the mean of its divisors is an integer number (3490724275668).

Almost surely, 258416202161780 is an apocalyptic number.

It is an amenable number.

58416202161780 is an abundant number, since it is smaller than the sum of its proper divisors (109138563070284).

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

58416202161780 is a wasteful number, since it uses less digits than its factorization.

58416202161780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23746423696 (or 23746423694 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 58416202161780 in words is "fifty-eight trillion, four hundred sixteen billion, two hundred two million, one hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 23746423643 47492847286 71239270929 94985694572 118732118215 142478541858 237464236430 284957083716 356196354645 474928472860 712392709290 973603369363 1424785418580 1947206738726 2920810108089 3894413477452 4868016846815 5841620216178 9736033693630 11683240432356 14604050540445 19472067387260 29208101080890 58416202161780