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97195421952 = 2832313736779
BaseRepresentation
bin101101010000101001…
…1000111000100000000
3100021212201100000102200
41122201103013010000
53043024012000302
6112352335113200
710010410312056
oct1324123070400
9307781300380
1097195421952
1138247311102
1216a06672800
13921c76b7c5
1449c07a81d6
1527dcde881c
hex16a14c7100

97195421952 has 216 divisors, whose sum is σ = 297104720640. Its totient is φ = 30505144320.

The previous prime is 97195421929. The next prime is 97195421957. The reversal of 97195421952 is 25912459179.

It is a happy number.

97195421952 is a `hidden beast` number, since 9 + 7 + 1 + 9 + 542 + 1 + 95 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (97195421957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2624299 + ... + 2661077.

Almost surely, 297195421952 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 97195421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148552360320).

97195421952 is an abundant number, since it is smaller than the sum of its proper divisors (199909298688).

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

97195421952 is a wasteful number, since it uses less digits than its factorization.

97195421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36869 (or 36852 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 97195421952 in words is "ninety-seven billion, one hundred ninety-five million, four hundred twenty-one thousand, nine hundred fifty-two".