Search a number
-
+
45252515325200 = 2452113131288313
BaseRepresentation
bin10100100101000001011000…
…00110011110010100010000
312221020002122121011202100112
422102200230012132110100
521412404122410401300
6240124415112340452
712350246341463231
oct1222405406362420
9187202577152315
1045252515325200
1113467536196937
1250aa2a79a4728
131c333a8884701
14b2633a753088
155371c5eade35
hex29282c19e510

45252515325200 has 30 divisors (see below), whose sum is σ = 108719168069754. Its totient is φ = 18101006129920.

The previous prime is 45252515325191. The next prime is 45252515325211. The reversal of 45252515325200 is 252351525254.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 13130100108304 + 32122415216896 = 3623548^2 + 5667664^2 .

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 5 ways as a sum of consecutive naturals, for example, 56565643757 + ... + 56565644556.

Almost surely, 245252515325200 is an apocalyptic number.

45252515325200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45252515325200 is an abundant number, since it is smaller than the sum of its proper divisors (63466652744554).

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

45252515325200 is a wasteful number, since it uses less digits than its factorization.

45252515325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113131288331 (or 113131288320 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 41.

The spelling of 45252515325200 in words is "forty-five trillion, two hundred fifty-two billion, five hundred fifteen million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 113131288313 226262576626 452525153252 565656441565 905050306504 1131312883130 1810100613008 2262625766260 2828282207825 4525251532520 5656564415650 9050503065040 11313128831300 22626257662600 45252515325200