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96470197200 = 2432521319235389
BaseRepresentation
bin101100111011000010…
…0100110001111010000
3100020000011200210002200
41121312010212033100
53040032332302300
6112152351043200
76653423101146
oct1316604461720
9306004623080
1096470197200
1137a04a03003
1216843810500
139135439b30
144952345596
1527993e2200
hex16761263d0

96470197200 has 1440 divisors, whose sum is σ = 408011385600. Its totient is φ = 20875345920.

The previous prime is 96470197193. The next prime is 96470197207. The reversal of 96470197200 is 279107469.

96470197200 is a `hidden beast` number, since 96 + 470 + 1 + 97 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96470197193) and next prime (96470197207).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96470197207) 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 287 ways as a sum of consecutive naturals, for example, 1083934756 + ... + 1083934844.

It is an arithmetic number, because the mean of its divisors is an integer number (283341240).

Almost surely, 296470197200 is an apocalyptic number.

96470197200 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 96470197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204005692800).

96470197200 is an abundant number, since it is smaller than the sum of its proper divisors (311541188400).

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

96470197200 is a wasteful number, since it uses less digits than its factorization.

96470197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 96470197200 in words is "ninety-six billion, four hundred seventy million, one hundred ninety-seven thousand, two hundred".