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93083505813 = 32509127915887
BaseRepresentation
bin101011010110000110…
…1011001010010010101
322220021011001000220100
41112230031121102111
53011113334141223
6110432330324313
76503460513264
oct1265415312225
9286234030810
1093083505813
1136527237701
1216059589699
138a158c382c
1447106405db
15264be18043
hex15ac359495

93083505813 has 24 divisors (see below), whose sum is σ = 134831923200. Its totient is φ = 61881434784.

The previous prime is 93083505773. The next prime is 93083505859. The reversal of 93083505813 is 31850538039.

93083505813 is a `hidden beast` number, since 9 + 30 + 8 + 35 + 0 + 581 + 3 = 666.

It is not a de Polignac number, because 93083505813 - 221 = 93081408661 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93083505883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5851156 + ... + 5867042.

It is an arithmetic number, because the mean of its divisors is an integer number (5617996800).

Almost surely, 293083505813 is an apocalyptic number.

It is an amenable number.

93083505813 is a deficient number, since it is larger than the sum of its proper divisors (41748417387).

93083505813 is a wasteful number, since it uses less digits than its factorization.

93083505813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17681 (or 17678 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 93083505813 in words is "ninety-three billion, eighty-three million, five hundred five thousand, eight hundred thirteen".

Divisors: 1 3 9 509 1279 1527 3837 4581 11511 15887 47661 142983 651011 1953033 5859099 8086483 20319473 24259449 60958419 72778347 182875257 10342611757 31027835271 93083505813