Search a number
-
+
97996491216 = 243213193124761
BaseRepresentation
bin101101101000100001…
…0111100100111010000
3100100221112200112212200
41123101002330213100
53101144100204331
6113004032523200
710036305301011
oct1332102744720
9310845615780
1097996491216
1138618512318
1216baa9b0500
1393197072a0
144a58d31008
1528383d25e6
hex16d10bc9d0

97996491216 has 720 divisors, whose sum is σ = 333461157120. Its totient is φ = 26612582400.

The previous prime is 97996491209. The next prime is 97996491251. The reversal of 97996491216 is 61219469979.

97996491216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (13226976) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1606499826 + ... + 1606499886.

It is an arithmetic number, because the mean of its divisors is an integer number (463140496).

Almost surely, 297996491216 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 97996491216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166730578560).

97996491216 is an abundant number, since it is smaller than the sum of its proper divisors (235464665904).

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

97996491216 is a wasteful number, since it uses less digits than its factorization.

97996491216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 176 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The spelling of 97996491216 in words is "ninety-seven billion, nine hundred ninety-six million, four hundred ninety-one thousand, two hundred sixteen".