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93342771216 = 243217312335279
BaseRepresentation
bin101011011101110101…
…0011010100000010000
322220221012220002011200
41112323222122200100
53012131222134331
6110514151311200
76513056315142
oct1267352324020
9286835802150
1093342771216
113664a619632
121611037b500
138a5752b606
144736c4cc92
152664a7c5e6
hex15bba9a810

93342771216 has 240 divisors, whose sum is σ = 286798786560. Its totient is φ = 28212387840.

The previous prime is 93342771209. The next prime is 93342771217. The reversal of 93342771216 is 61217724339.

93342771216 is a `hidden beast` number, since 9 + 3 + 3 + 427 + 7 + 1 + 216 = 666.

It is not an unprimeable number, because it can be changed into a prime (93342771217) 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, 17679265 + ... + 17684543.

It is an arithmetic number, because the mean of its divisors is an integer number (1194994944).

Almost surely, 293342771216 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 93342771216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143399393280).

93342771216 is an abundant number, since it is smaller than the sum of its proper divisors (193456015344).

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

93342771216 is a wasteful number, since it uses less digits than its factorization.

93342771216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5565 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The spelling of 93342771216 in words is "ninety-three billion, three hundred forty-two million, seven hundred seventy-one thousand, two hundred sixteen".