Search a number
-
+
13545773000 = 235322136121
BaseRepresentation
bin11001001110110010…
…00001011111001000
31021222000202120021022
430213121001133020
5210220204214000
610120044532012
7656451112364
oct144731013710
937860676238
1013545773000
115821265821
122760551008
13137b4921c6
149270382a4
1554430c585
hex3276417c8

13545773000 has 64 divisors (see below), whose sum is σ = 31716612720. Its totient is φ = 5414976000.

The previous prime is 13545772997. The next prime is 13545773029. The reversal of 13545773000 is 37754531.

It can be written as a sum of positive squares in 8 ways, for example, as 1259824036 + 12285948964 = 35494^2 + 110842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2209940 + ... + 2216060.

Almost surely, 213545773000 is an apocalyptic number.

13545773000 is a gapful number since it is divisible by the number (10) 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 13545773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858306360).

13545773000 is an abundant number, since it is smaller than the sum of its proper divisors (18170839720).

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

13545773000 is a wasteful number, since it uses less digits than its factorization.

13545773000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8355 (or 8341 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 13545773000 in words is "thirteen billion, five hundred forty-five million, seven hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2213 4426 6121 8852 11065 12242 17704 22130 24484 30605 44260 48968 55325 61210 88520 110650 122420 153025 221300 244840 276625 306050 442600 553250 612100 765125 1106500 1224200 1530250 2213000 3060500 6121000 13545773 27091546 54183092 67728865 108366184 135457730 270915460 338644325 541830920 677288650 1354577300 1693221625 2709154600 3386443250 6772886500 13545773000