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93423756409 = 192160872
BaseRepresentation
bin101011100000001111…
…1010110010001111001
322221010212021112222021
41113000133112101321
53012312440201114
6110530203154441
76515061553444
oct1270037262171
9287125245867
1093423756409
1136691302a45
1216133515a21
138a6b245249
1447438d065b
15266bc28024
hex15c07d6479

93423756409 has 9 divisors (see below), whose sum is σ = 98605717317. Its totient is φ = 88501214844.

The previous prime is 93423756403. The next prime is 93423756421. The reversal of 93423756409 is 90465732439.

It is a happy number.

The square root of 93423756409 is 305653.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 93423756409 - 225 = 93390201977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93423756403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5799364 + ... + 5815450.

It is an arithmetic number, because the mean of its divisors is an integer number (10956190813).

Almost surely, 293423756409 is an apocalyptic number.

93423756409 is the 305653-rd square number.

93423756409 is the 152827-th centered octagonal number.

It is an amenable number.

93423756409 is a deficient number, since it is larger than the sum of its proper divisors (5181960908).

93423756409 is an frugal number, since it uses more digits than its factorization.

93423756409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32212 (or 16106 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 93423756409 in words is "ninety-three billion, four hundred twenty-three million, seven hundred fifty-six thousand, four hundred nine".

Divisors: 1 19 361 16087 305653 5807407 258791569 4917039811 93423756409