Search a number
-
+
98103220992 = 2832731239821
BaseRepresentation
bin101101101011101101…
…0000101101100000000
3100101012222111222121100
41123113122011230000
53101403411032432
6113022404254400
710042042422360
oct1332732055400
9311188458540
1098103220992
113867278aa47
121701a6a1400
139335865cba
144a691949a0
15284296607c
hex16d7685b00

98103220992 has 432 divisors, whose sum is σ = 335495946240. Its totient is φ = 26978918400.

The previous prime is 98103220991. The next prime is 98103221017. The reversal of 98103220992 is 29902230189.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (98103220991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119491942 + ... + 119492762.

Almost surely, 298103220992 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 98103220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167747973120).

98103220992 is an abundant number, since it is smaller than the sum of its proper divisors (237392725248).

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

98103220992 is a wasteful number, since it uses less digits than its factorization.

98103220992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 98103220992 in words is "ninety-eight billion, one hundred three million, two hundred twenty thousand, nine hundred ninety-two".