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97194247920 = 243357211312693
BaseRepresentation
bin101101010000100111…
…0101000011011110000
3100021212122010100222000
41122201032220123300
53043023211413140
6112352254014000
710010364322200
oct1324116503360
9307778110860
1097194247920
113824668a030
1216a061a7300
13921c44a303
1449c0580400
1527dcc65a30
hex16a13a86f0

97194247920 has 960 divisors, whose sum is σ = 438709063680. Its totient is φ = 19537459200.

The previous prime is 97194247919. The next prime is 97194247991. The reversal of 97194247920 is 2974249179.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 36090094 + ... + 36092786.

It is an arithmetic number, because the mean of its divisors is an integer number (456988608).

Almost surely, 297194247920 is an apocalyptic number.

97194247920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97194247920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219354531840).

97194247920 is an abundant number, since it is smaller than the sum of its proper divisors (341514815760).

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

97194247920 is a wasteful number, since it uses less digits than its factorization.

97194247920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 97194247920 in words is "ninety-seven billion, one hundred ninety-four million, two hundred forty-seven thousand, nine hundred twenty".