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5425101200 = 2452175315053
BaseRepresentation
bin1010000110101110…
…00111100110010000
3112000002021200210002
411003113013212100
542102311214300
62254154425132
7251303412401
oct50327074620
915002250702
105425101200
112334367912
121074a321a8
13685c4b46c
1439671b9a8
1521b4275d5
hex1435c7990

5425101200 has 120 divisors (see below), whose sum is σ = 14061820968. Its totient is φ = 2003722240.

The previous prime is 5425101167. The next prime is 5425101203. The reversal of 5425101200 is 21015245.

It can be written as a sum of positive squares in 12 ways, for example, as 1073296 + 5424027904 = 1036^2 + 73648^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5425101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352874 + ... + 367926.

Almost surely, 25425101200 is an apocalyptic number.

5425101200 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 5425101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030910484).

5425101200 is an abundant number, since it is smaller than the sum of its proper divisors (8636719768).

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

5425101200 is a wasteful number, since it uses less digits than its factorization.

5425101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15141 (or 15130 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5425101200 is about 73655.2863004415. The cubic root of 5425101200 is about 1757.1248252370.

Adding to 5425101200 its reverse (21015245), we get a palindrome (5446116445).

The spelling of 5425101200 in words is "five billion, four hundred twenty-five million, one hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 53 68 80 85 100 106 136 170 200 212 265 272 340 400 424 425 530 680 848 850 901 1060 1325 1360 1700 1802 2120 2650 3400 3604 4240 4505 5300 6800 7208 9010 10600 14416 15053 18020 21200 22525 30106 36040 45050 60212 72080 75265 90100 120424 150530 180200 240848 255901 301060 360400 376325 511802 602120 752650 797809 1023604 1204240 1279505 1505300 1595618 2047208 2559010 3010600 3191236 3989045 4094416 5118020 6021200 6382472 6397525 7978090 10236040 12764944 12795050 13562753 15956180 19945225 20472080 25590100 27125506 31912360 39890450 51180200 54251012 63824720 67813765 79780900 102360400 108502024 135627530 159561800 217004048 271255060 319123600 339068825 542510120 678137650 1085020240 1356275300 2712550600 5425101200