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97244832168 = 2332111134912213
BaseRepresentation
bin101101010010000111…
…1100110000110101000
3100022000011022022111200
41122210033212012220
53043124134112133
6112401302124200
710011550302141
oct1324417460650
9308004268450
1097244832168
11382721997a0
1216a1b120660
139229a7b613
1449c718aac8
1527e2408913
hex16a43e61a8

97244832168 has 192 divisors, whose sum is σ = 290578466880. Its totient is φ = 29134694400.

The previous prime is 97244832103. The next prime is 97244832169. The reversal of 97244832168 is 86123844279.

97244832168 is a `hidden beast` number, since 9 + 7 + 2 + 448 + 32 + 168 = 666.

It is not an unprimeable number, because it can be changed into a prime (97244832169) 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, 43941430 + ... + 43943642.

It is an arithmetic number, because the mean of its divisors is an integer number (1513429515).

Almost surely, 297244832168 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 97244832168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145289233440).

97244832168 is an abundant number, since it is smaller than the sum of its proper divisors (193333634712).

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

97244832168 is a wasteful number, since it uses less digits than its factorization.

97244832168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2833 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 97244832168 in words is "ninety-seven billion, two hundred forty-four million, eight hundred thirty-two thousand, one hundred sixty-eight".