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5445505200 = 2435241110681
BaseRepresentation
bin1010001001001001…
…11101000010110000
3112001111200022210210
411010210331002300
542123022131300
62300204024120
7251642013312
oct50444750260
915044608723
105445505200
112344933723
12107b832040
1368a243735
1439930d7b2
1521d108050
hex14493d0b0

5445505200 has 120 divisors (see below), whose sum is σ = 17869387536. Its totient is φ = 1416704000.

The previous prime is 5445505157. The next prime is 5445505201. The reversal of 5445505200 is 25055445.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5445505201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6141 + ... + 104540.

Almost surely, 25445505200 is an apocalyptic number.

5445505200 is a gapful number since it is divisible by the number (50) 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 5445505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934693768).

5445505200 is an abundant number, since it is smaller than the sum of its proper divisors (12423882336).

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

5445505200 is a wasteful number, since it uses less digits than its factorization.

5445505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110743 (or 110732 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 5445505200 is about 73793.6663948878. Note that the first 3 decimals coincide. The cubic root of 5445505200 is about 1759.3249391113.

The spelling of 5445505200 in words is "five billion, four hundred forty-five million, five hundred five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 150 164 200 205 240 246 300 328 400 410 492 600 615 656 820 984 1025 1200 1230 1640 1968 2050 2460 3075 3280 4100 4920 6150 8200 9840 12300 16400 24600 49200 110681 221362 332043 442724 553405 664086 885448 1106810 1328172 1660215 1770896 2213620 2656344 2767025 3320430 4427240 4537921 5312688 5534050 6640860 8301075 8854480 9075842 11068100 13281720 13613763 16602150 18151684 22136200 22689605 26563440 27227526 33204300 36303368 44272400 45379210 54455052 66408600 68068815 72606736 90758420 108910104 113448025 132817200 136137630 181516840 217820208 226896050 272275260 340344075 363033680 453792100 544550520 680688150 907584200 1089101040 1361376300 1815168400 2722752600 5445505200