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2018944368 = 243273754133
BaseRepresentation
bin111100001010110…
…1010010101110000
312012201000000000100
41320111222111300
513113322204433
6532200552400
7101013513120
oct17025522560
95181000010
102018944368
11946706871
12484182700
1326237b14c
141521cac80
15bc3a5b13
hex7856a570

2018944368 has 120 divisors (see below), whose sum is σ = 6632064608. Its totient is φ = 561240576.

The previous prime is 2018944289. The next prime is 2018944387. The reversal of 2018944368 is 8634498102.

It is a happy number.

2018944368 is a `hidden beast` number, since 20 + 189 + 443 + 6 + 8 = 666.

It is a super-2 number, since 2×20189443682 = 8152272722157838848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10230 + ... + 64362.

Almost surely, 22018944368 is an apocalyptic number.

2018944368 is a gapful number since it is divisible by the number (28) 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 2018944368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316032304).

2018944368 is an abundant number, since it is smaller than the sum of its proper divisors (4613120240).

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

2018944368 is a wasteful number, since it uses less digits than its factorization.

2018944368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54191 (or 54182 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2018944368 is about 44932.6648219310. The cubic root of 2018944368 is about 1263.8866232496.

The spelling of 2018944368 in words is "two billion, eighteen million, nine hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 2072 2331 2664 3108 4144 4662 5328 6216 9324 12432 18648 37296 54133 108266 162399 216532 324798 378931 433064 487197 649596 757862 866128 974394 1136793 1299192 1515724 1948788 2002921 2273586 2598384 3031448 3410379 3897576 4005842 4547172 6008763 6062896 6820758 7795152 8011684 9094344 12017526 13641516 14020447 16023368 18026289 18188688 24035052 27283032 28040894 32046736 36052578 42061341 48070104 54566064 56081788 72105156 84122682 96140208 112163576 126184023 144210312 168245364 224327152 252368046 288420624 336490728 504736092 672981456 1009472184 2018944368