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164452123612500 = 223558275302769
BaseRepresentation
bin100101011001000101111110…
…011010010001010101010100
3210120021110200020201222111120
4211121011332122101111110
5133023340422121100000
61341432132421203540
746432162633451013
oct4531057632212524
9716243606658446
10164452123612500
1148443832580849
121653bb0b5605b0
13709b9cbb35549
142c8774d412a7a
151402b9cc496a0
hex95917e691554

164452123612500 has 144 divisors (see below), whose sum is σ = 480201373270080. Its totient is φ = 43800863680000.

The previous prime is 164452123612463. The next prime is 164452123612507. The reversal of 164452123612500 is 5216321254461.

164452123612500 is digitally balanced in base 3, because in such base 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 (164452123612507) 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 47 ways as a sum of consecutive naturals, for example, 28361116 + ... + 33663884.

It is an arithmetic number, because the mean of its divisors is an integer number (3334731758820).

Almost surely, 2164452123612500 is an apocalyptic number.

164452123612500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164452123612500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240100686635040).

164452123612500 is an abundant number, since it is smaller than the sum of its proper divisors (315749249657580).

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

164452123612500 is an equidigital number, since it uses as much as digits as its factorization.

164452123612500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5303628 (or 5303606 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 164452123612500 its reverse (5216321254461), we get a palindrome (169668444866961).

The spelling of 164452123612500 in words is "one hundred sixty-four trillion, four hundred fifty-two billion, one hundred twenty-three million, six hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 625 750 827 1250 1500 1654 1875 2481 2500 3125 3308 3750 4135 4962 6250 7500 8270 9375 9924 12405 12500 16540 18750 20675 24810 37500 41350 49620 62025 82700 103375 124050 206750 248100 310125 413500 516875 620250 1033750 1240500 1550625 2067500 2584375 3101250 5168750 5302769 6202500 7753125 10337500 10605538 15506250 15908307 21211076 26513845 31012500 31816614 53027690 63633228 79541535 106055380 132569225 159083070 265138450 318166140 397707675 530276900 662846125 795415350 1325692250 1590830700 1988538375 2651384500 3314230625 3977076750 4385389963 6628461250 7954153500 8770779926 9942691875 13156169889 13256922500 16571153125 17541559852 19885383750 21926949815 26312339778 33142306250 39770767500 43853899630 49713459375 52624679556 65780849445 66284612500 87707799260 99426918750 109634749075 131561698890 198853837500 219269498150 263123397780 328904247225 438538996300 548173745375 657808494450 1096347490750 1315616988900 1644521236125 2192694981500 2740868726875 3289042472250 5481737453750 6578084944500 8222606180625 10963474907500 13704343634375 16445212361250 27408687268750 32890424722500 41113030903125 54817374537500 82226061806250 164452123612500