Search a number
-
+
9382434259968 = 2103671131971
BaseRepresentation
bin1000100010001000010010…
…1010010100010000000000
31020012221200222100011000000
42020202010222110100000
52212210211132304333
631542121504000000
71655600316226230
oct210420452242000
936187628304000
109382434259968
112a980825a4000
121076466300000
135309b5246003
1424617ddbdcc0
151140d2deb713
hex88884a94400

9382434259968 has 2464 divisors, whose sum is σ = 37733888378880. Its totient is φ = 2276215603200.

The previous prime is 9382434259967. The next prime is 9382434259973. The reversal of 9382434259968 is 8699524342839.

It is a happy number.

9382434259968 is a `hidden beast` number, since 9 + 3 + 8 + 24 + 3 + 4 + 2 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a super-2 number, since 2×93824342599682 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9382434259896 and 9382434259905.

It is not an unprimeable number, because it can be changed into a prime (9382434259967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 132146961373 + ... + 132146961443.

Almost surely, 29382434259968 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 9382434259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866944189440).

9382434259968 is an abundant number, since it is smaller than the sum of its proper divisors (28351454118912).

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

9382434259968 is an equidigital number, since it uses as much as digits as its factorization.

9382434259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 9382434259968 in words is "nine trillion, three hundred eighty-two billion, four hundred thirty-four million, two hundred fifty-nine thousand, nine hundred sixty-eight".