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45452525012000 = 255340927782717
BaseRepresentation
bin10100101010110101111011…
…00110111000010000100000
312221221012220121200120122022
422111122331212320100200
521424143232400341000
6240400333550201012
712400556640663521
oct1225327546702040
9187835817616568
1045452525012000
1113534342473957
1251210067b3168
131c49201bb5a02
14b31cb1c36848
1553c4d01e8585
hex2956bd9b8420

45452525012000 has 96 divisors (see below), whose sum is σ = 111949906526640. Its totient is φ = 18136557004800.

The previous prime is 45452525011987. The next prime is 45452525012009. The reversal of 45452525012000 is 21052525454.

It can be written as a sum of positive squares in 8 ways, for example, as 109378364176 + 45343146647824 = 330724^2 + 6733732^2 .

It is not an unprimeable number, because it can be changed into a prime (45452525012009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12255359 + ... + 15527358.

Almost surely, 245452525012000 is an apocalyptic number.

45452525012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45452525012000 is an abundant number, since it is smaller than the sum of its proper divisors (66497381514640).

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

45452525012000 is a wasteful number, since it uses less digits than its factorization.

45452525012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27783151 (or 27783133 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

Adding to 45452525012000 its reverse (21052525454), we get a palindrome (45473577537454).

The spelling of 45452525012000 in words is "forty-five trillion, four hundred fifty-two billion, five hundred twenty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 409 500 800 818 1000 1636 2000 2045 3272 4000 4090 6544 8180 10225 13088 16360 20450 32720 40900 51125 65440 81800 102250 163600 204500 327200 409000 818000 1636000 27782717 55565434 111130868 138913585 222261736 277827170 444523472 555654340 694567925 889046944 1111308680 1389135850 2222617360 2778271700 3472839625 4445234720 5556543400 6945679250 11113086800 11363131253 13891358500 22226173600 22726262506 27782717000 45452525012 55565434000 56815656265 90905050024 111130868000 113631312530 181810100048 227262625060 284078281325 363620200096 454525250120 568156562650 909050500240 1136313125300 1420391406625 1818101000480 2272626250600 2840782813250 4545252501200 5681565626500 9090505002400 11363131253000 22726262506000 45452525012000