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93304108032 = 21031941127307
BaseRepresentation
bin101011011100101011…
…0111011010000000000
322220211112010210020220
41112321112323100000
53012041322424112
6110510250503040
76512106555402
oct1267126732000
9286745123226
1093304108032
113662a811393
12160bb434a80
138a4c5123a5
144731a66b72
15266149198c
hex15b95bb400

93304108032 has 352 divisors, whose sum is σ = 271155118080. Its totient is φ = 28426567680.

The previous prime is 93304108021. The next prime is 93304108033. The reversal of 93304108032 is 23080140339.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 93304107984 and 93304108002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93304108033) 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 31 ways as a sum of consecutive naturals, for example, 303922023 + ... + 303922329.

It is an arithmetic number, because the mean of its divisors is an integer number (770327040).

Almost surely, 293304108032 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 93304108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135577559040).

93304108032 is an abundant number, since it is smaller than the sum of its proper divisors (177851010048).

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

93304108032 is a wasteful number, since it uses less digits than its factorization.

93304108032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 93304108032 in words is "ninety-three billion, three hundred four million, one hundred eight thousand, thirty-two".