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2018231918640 = 243457193175541
BaseRepresentation
bin11101010111100111111…
…111110010000000110000
321010221102001102021120000
4131113213333302000300
5231031314332344030
64143055110150000
7265545445153560
oct35274777620060
97127361367500
102018231918640
11708a22337143
12287191952300
1311841a846302
146d97c00ada0
15377738e7860
hex1d5e7ff2030

2018231918640 has 800 divisors, whose sum is σ = 8704759050240. Its totient is φ = 422927308800.

The previous prime is 2018231918617. The next prime is 2018231918657. The reversal of 2018231918640 is 468191328102.

2018231918640 is a `hidden beast` number, since 201 + 82 + 319 + 18 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26679270 + ... + 26754810.

Almost surely, 22018231918640 is an apocalyptic number.

2018231918640 is a gapful number since it is divisible by the number (20) 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 2018231918640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4352379525120).

2018231918640 is an abundant number, since it is smaller than the sum of its proper divisors (6686527131600).

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

2018231918640 is a wasteful number, since it uses less digits than its factorization.

2018231918640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75623 (or 75608 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 2018231918640 in words is "two trillion, eighteen billion, two hundred thirty-one million, nine hundred eighteen thousand, six hundred forty".