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2018252016 = 2432111274149
BaseRepresentation
bin111100001001100…
…0001010011110000
312012122200211021200
41320103001103300
513113133031031
6532134051200
7101004600444
oct17023012360
95178624250
102018252016
11946283680
12483aa9b00
13262197c81
1415208a824
15bc2ba8e6
hex784c14f0

2018252016 has 60 divisors (see below), whose sum is σ = 6161789400. Its totient is φ = 611591040.

The previous prime is 2018252009. The next prime is 2018252017. The reversal of 2018252016 is 6102528102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018252017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 635491 + ... + 638658.

It is an arithmetic number, because the mean of its divisors is an integer number (102696490).

Almost surely, 22018252016 is an apocalyptic number.

It is an amenable number.

2018252016 is an abundant number, since it is smaller than the sum of its proper divisors (4143537384).

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

2018252016 is a wasteful number, since it uses less digits than its factorization.

2018252016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274174 (or 1274165 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2018252016 is about 44924.9598330371. The cubic root of 2018252016 is about 1263.7421328101.

It can be divided in two parts, 201825 and 2016, that added together give a triangular number (203841 = T638).

The spelling of 2018252016 in words is "two billion, eighteen million, two hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1274149 2548298 3822447 5096596 7644894 10193192 11467341 14015639 15289788 20386384 22934682 28031278 30579576 42046917 45869364 56062556 61159152 84093834 91738728 112125112 126140751 168187668 183477456 224250224 252281502 336375336 504563004 672750672 1009126008 2018252016