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2093336429184 = 27327211131913649
BaseRepresentation
bin11110011101100100100…
…100110000001010000000
321102010021012210201111200
4132131210210300022000
5233244123111213214
64241355424341200
7304144554030300
oct36354444601200
97363235721450
102093336429184
11737862928570
12299852174800
131225296820b0
147346492b600
15396bc205d09
hex1e764930280

2093336429184 has 1152 divisors, whose sum is σ = 8666232120000. Its totient is φ = 475448279040.

The previous prime is 2093336429183. The next prime is 2093336429189. The reversal of 2093336429184 is 4819246333902.

2093336429184 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 3 + 36 + 429 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 2093336429184.

It is not an unprimeable number, because it can be changed into a prime (2093336429183) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 153362392 + ... + 153376040.

Almost surely, 22093336429184 is an apocalyptic number.

2093336429184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093336429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333116060000).

2093336429184 is an abundant number, since it is smaller than the sum of its proper divisors (6572895690816).

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

2093336429184 is a wasteful number, since it uses less digits than its factorization.

2093336429184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13726 (or 13704 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2093336429184 in words is "two trillion, ninety-three billion, three hundred thirty-six million, four hundred twenty-nine thousand, one hundred eighty-four".