Search a number
-
+
99841300000 = 25551376801
BaseRepresentation
bin101110011111100000…
…0010101011000100000
3100112201010000112202221
41130333000111120200
53113433333100000
6113511053320424
710133106022201
oct1347700253040
9315633015687
1099841300000
11393848a1482
1217424796114
139551985910
144b91d4d5a8
1528e533c61a
hex173f015620

99841300000 has 144 divisors (see below), whose sum is σ = 264589955784. Its totient is φ = 36864000000.

The previous prime is 99841299977. The next prime is 99841300037. The reversal of 99841300000 is 314899.

It can be written as a sum of positive squares in 12 ways, for example, as 35643929616 + 64197370384 = 188796^2 + 253372^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1261600 + ... + 1338400.

Almost surely, 299841300000 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 99841300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132294977892).

99841300000 is an abundant number, since it is smaller than the sum of its proper divisors (164748655784).

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

99841300000 is an equidigital number, since it uses as much as digits as its factorization.

99841300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76849 (or 76821 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

Adding to 99841300000 its reverse (314899), we get a palindrome (99841614899).

The spelling of 99841300000 in words is "ninety-nine billion, eight hundred forty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 10000 10400 12500 13000 16250 20000 25000 26000 32500 40625 50000 52000 65000 76801 81250 100000 130000 153602 162500 260000 307204 325000 384005 614408 650000 768010 998413 1228816 1300000 1536020 1920025 1996826 2457632 3072040 3840050 3993652 4992065 6144080 7680100 7987304 9600125 9984130 12288160 15360200 15974608 19200250 19968260 24960325 30720400 31949216 38400500 39936520 48000625 49920650 61440800 76801000 79873040 96001250 99841300 124801625 153602000 159746080 192002500 199682600 240003125 249603250 307204000 384005000 399365200 480006250 499206500 624008125 768010000 798730400 960012500 998413000 1248016250 1536020000 1920025000 1996826000 2496032500 3120040625 3840050000 3993652000 4992065000 6240081250 7680100000 9984130000 12480162500 19968260000 24960325000 49920650000 99841300000