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1155004050500 = 225341137411253
BaseRepresentation
bin10000110011101011100…
…110110010110001000100
311002102021012220001011022
4100303223212302301010
5122410422014104000
62242333533130312
7146306035304546
oct20635346626104
94072235801138
101155004050500
1140591a748273
12167a20629998
1384bbb494411
143dc8c631696
152009e7ec585
hex10ceb9b2c44

1155004050500 has 96 divisors (see below), whose sum is σ = 2602921976928. Its totient is φ = 447442176000.

The previous prime is 1155004050467. The next prime is 1155004050517. The reversal of 1155004050500 is 50504005511.

It can be written as a sum of positive squares in 16 ways, for example, as 1154949998596 + 54051904 = 1074686^2 + 7352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1155004050500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602874 + ... + 3014126.

It is an arithmetic number, because the mean of its divisors is an integer number (27113770593).

Almost surely, 21155004050500 is an apocalyptic number.

1155004050500 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 1155004050500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301460988464).

1155004050500 is an abundant number, since it is smaller than the sum of its proper divisors (1447917926428).

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

1155004050500 is a wasteful number, since it uses less digits than its factorization.

1155004050500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411450 (or 411438 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 26.

The spelling of 1155004050500 in words is "one trillion, one hundred fifty-five billion, four million, fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 125 137 164 205 250 274 410 500 548 685 820 1025 1370 2050 2740 3425 4100 5125 5617 6850 10250 11234 13700 17125 20500 22468 28085 34250 56170 68500 112340 140425 280850 411253 561700 702125 822506 1404250 1645012 2056265 2808500 4112530 8225060 10281325 16861373 20562650 33722746 41125300 51406625 56341661 67445492 84306865 102813250 112683322 168613730 205626500 225366644 281708305 337227460 421534325 563416610 843068650 1126833220 1408541525 1686137300 2107671625 2310008101 2817083050 4215343250 4620016202 5634166100 7042707625 8430686500 9240032404 11550040505 14085415250 23100081010 28170830500 46200162020 57750202525 115500405050 231000810100 288751012625 577502025250 1155004050500