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93333382289 = 7235319795527
BaseRepresentation
bin101011011101100011…
…0100110010010010001
322220220120020001222122
41112323012212102101
53012121321213124
6110513214144025
76512613442160
oct1267306462221
9286816201878
1093333382289
1136645296594
12161091b2015
138a555c1c34
1447358c73d7
152663d2575e
hex15bb1a6491

93333382289 has 32 divisors (see below), whose sum is σ = 113482321920. Its totient is φ = 75026457792.

The previous prime is 93333382283. The next prime is 93333382291. The reversal of 93333382289 is 98228333339.

It is not a de Polignac number, because 93333382289 - 24 = 93333382273 is a prime.

It is a super-2 number, since 2×933333822892 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 93333382289.

It is not an unprimeable number, because it can be changed into a prime (93333382283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16884044 + ... + 16889570.

It is an arithmetic number, because the mean of its divisors is an integer number (3546322560).

Almost surely, 293333382289 is an apocalyptic number.

It is an amenable number.

93333382289 is a deficient number, since it is larger than the sum of its proper divisors (20148939631).

93333382289 is a wasteful number, since it uses less digits than its factorization.

93333382289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589.

The product of its digits is 5038848, while the sum is 53.

The spelling of 93333382289 in words is "ninety-three billion, three hundred thirty-three million, three hundred eighty-two thousand, two hundred eighty-nine".

Divisors: 1 7 23 53 161 371 1219 1979 5527 8533 13853 38689 45517 104887 127121 292931 318619 734209 889847 2050517 2412401 6737413 10937933 16886807 47161891 76565531 251572459 579710449 1761007213 4057973143 13333340327 93333382289