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1806092118144 = 27331725930649
BaseRepresentation
bin11010010010000011011…
…110101010100010000000
320101122211122221211111000
4122102003132222202000
5214042334040240034
63501412434052000
7244325434463316
oct32220336524200
96348748854430
101806092118144
11636a60a09176
1225204871a000
13101410425042
14635b591a0b6
1531ea97da599
hex1a4837aa880

1806092118144 has 384 divisors, whose sum is σ = 5758644600000. Its totient is φ = 556995280896.

The previous prime is 1806092118133. The next prime is 1806092118179. The reversal of 1806092118144 is 4418112906081.

1806092118144 is a `hidden beast` number, since 1 + 8 + 0 + 609 + 21 + 1 + 8 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1806092118144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58912932 + ... + 58943580.

Almost surely, 21806092118144 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 1806092118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879322300000).

1806092118144 is an abundant number, since it is smaller than the sum of its proper divisors (3952552481856).

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

1806092118144 is a wasteful number, since it uses less digits than its factorization.

1806092118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30765 (or 30730 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1806092118144 in words is "one trillion, eight hundred six billion, ninety-two million, one hundred eighteen thousand, one hundred forty-four".