Search a number
-
+
9803202304896 = 2733711133191411
BaseRepresentation
bin1000111010100111110001…
…1001000001101110000000
31021201011210000122111211000
42032221330121001232000
52241103424242224041
632503310131252000
72031154330500210
oct216517431015600
937634700574730
109803202304896
11313a57314a9a0
121123b1474a000
13561590404020
1425c698476240
1512000cbc4bb6
hex8ea7c641b80

9803202304896 has 1024 divisors, whose sum is σ = 40100762419200. Its totient is φ = 2274573312000.

The previous prime is 9803202304877. The next prime is 9803202304897. The reversal of 9803202304896 is 6984032023089.

It is a happy number.

9803202304896 is a `hidden beast` number, since 9 + 8 + 0 + 320 + 2 + 304 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×98032023048962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9803202304897) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 107197431 + ... + 107288841.

It is an arithmetic number, because the mean of its divisors is an integer number (39160900800).

Almost surely, 29803202304896 is an apocalyptic number.

9803202304896 is a gapful number since it is divisible by the number (96) 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 9803202304896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20050381209600).

9803202304896 is an abundant number, since it is smaller than the sum of its proper divisors (30297560114304).

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

9803202304896 is a wasteful number, since it uses less digits than its factorization.

9803202304896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91496 (or 91478 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 9803202304896 in words is "nine trillion, eight hundred three billion, two hundred two million, three hundred four thousand, eight hundred ninety-six".