Search a number
-
+
5145125120 = 28517532293
BaseRepresentation
bin1001100101010110…
…00110000100000000
3111021120110102210122
410302223012010000
541014123000440
62210313515412
7241333561532
oct46253060400
914246412718
105145125120
11220031a723
12bb7112b68
1363cc41945
1436b47b852
15201a717b5
hex132ac6100

5145125120 has 72 divisors (see below), whose sum is σ = 12336590616. Its totient is φ = 2055979008.

The previous prime is 5145125107. The next prime is 5145125129. The reversal of 5145125120 is 215215415.

It can be written as a sum of positive squares in 4 ways, for example, as 46022656 + 5099102464 = 6784^2 + 71408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5145125120.

It is not an unprimeable number, because it can be changed into a prime (5145125129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2242694 + ... + 2244986.

Almost surely, 25145125120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168295308).

5145125120 is an abundant number, since it is smaller than the sum of its proper divisors (7191465496).

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

5145125120 is a wasteful number, since it uses less digits than its factorization.

5145125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The square root of 5145125120 is about 71729.5275322513. The cubic root of 5145125120 is about 1726.3624461335.

The spelling of 5145125120 in words is "five billion, one hundred forty-five million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1753 2293 3506 4586 7012 8765 9172 11465 14024 17530 18344 22930 28048 35060 36688 45860 56096 70120 73376 91720 112192 140240 146752 183440 224384 280480 293504 366880 448768 560960 587008 733760 1121920 1467520 2243840 2935040 4019629 8039258 16078516 20098145 32157032 40196290 64314064 80392580 128628128 160785160 257256256 321570320 514512512 643140640 1029025024 1286281280 2572562560 5145125120