Search a number
-
+
9805050000 = 243655269
BaseRepresentation
bin10010010000110110…
…10011000010010000
3221022022221011000000
421020123103002100
5130040043100000
64300540130000
7464656356414
oct111033230220
927268834000
109805050000
114181771209
121a97836900
13c034b0945
146902d6d44
153c5c00000
hex2486d3090

9805050000 has 420 divisors, whose sum is σ = 35733689460. Its totient is φ = 2604960000.

The previous prime is 9805049977. The next prime is 9805050019. The reversal of 9805050000 is 505089.

It can be written as a sum of positive squares in 6 ways, for example, as 9532007424 + 273042576 = 97632^2 + 16524^2 .

It is a super-2 number, since 2×98050500002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36449866 + ... + 36450134.

It is an arithmetic number, because the mean of its divisors is an integer number (85080213).

Almost surely, 29805050000 is an apocalyptic number.

9805050000 is a gapful number since it is divisible by the number (90) 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 9805050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866844730).

9805050000 is an abundant number, since it is smaller than the sum of its proper divisors (25928639460).

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

9805050000 is an frugal number, since it uses more digits than its factorization.

9805050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 9805050000 is about 99020.4524328181. The cubic root of 9805050000 is about 2140.3424787425.

Adding to 9805050000 its reverse (505089), we get a palindrome (9805555089).

The spelling of 9805050000 in words is "nine billion, eight hundred five million, fifty thousand".