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96188994720 = 253357131737389
BaseRepresentation
bin101100110010101001…
…1111001010010100000
3100012021120120012211000
41121211103321102200
53033443340312340
6112104423552000
76643436651640
oct1314523712240
9305246505730
1096188994720
11378801a8465
12167855bb600
1390bc0c1030
144926c66520
15277e897d30
hex16654f94a0

96188994720 has 1536 divisors, whose sum is σ = 451742054400. Its totient is φ = 18536988672.

The previous prime is 96188994719. The next prime is 96188994751. The reversal of 96188994720 is 2749988169.

96188994720 is a `hidden beast` number, since 9 + 618 + 8 + 9 + 9 + 4 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 247272286 + ... + 247272674.

It is an arithmetic number, because the mean of its divisors is an integer number (294102900).

Almost surely, 296188994720 is an apocalyptic number.

96188994720 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 96188994720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225871027200).

96188994720 is an abundant number, since it is smaller than the sum of its proper divisors (355553059680).

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

96188994720 is a wasteful number, since it uses less digits than its factorization.

96188994720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 96188994720 in words is "ninety-six billion, one hundred eighty-eight million, nine hundred ninety-four thousand, seven hundred twenty".