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93229074432 = 211321321732
BaseRepresentation
bin101011011010011100…
…0101100100000000000
322220122021221200111200
41112310320230200000
53011413120340212
6110455010341200
76510206025504
oct1266470544000
9286567850450
1093229074432
11365a142254a
121609a28a800
138a39b00700
144725ad4304
152659abe6dc
hex15b4e2c800

93229074432 has 324 divisors, whose sum is σ = 293263576515. Its totient is φ = 28520054784.

The previous prime is 93229074413. The next prime is 93229074461. The reversal of 93229074432 is 23447092239.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 54913360896 + 38315713536 = 234336^2 + 195744^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=215904.

It is a super-2 number, since 2×932290744322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 538896298 + ... + 538896470.

Almost surely, 293229074432 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 93229074432

93229074432 is an abundant number, since it is smaller than the sum of its proper divisors (200034502083).

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

93229074432 is a wasteful number, since it uses less digits than its factorization.

93229074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 93229074432 in words is "ninety-three billion, two hundred twenty-nine million, seventy-four thousand, four hundred thirty-two".