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18500003400 = 23352131235369
BaseRepresentation
bin10001001110101011…
…111010011001001000
31202202022000112202010
4101032223322121020
5300342000102100
612255423135520
71223306301654
oct211653723110
952668015663
1018500003400
11793385140a
1237037445a0
13198a9b7098
14c76dc3a64
15734222750
hex44eafa648

18500003400 has 96 divisors (see below), whose sum is σ = 57788042400. Its totient is φ = 4895654400.

The previous prime is 18500003399. The next prime is 18500003407. The reversal of 18500003400 is 430000581.

It is not an unprimeable number, because it can be changed into a prime (18500003407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39085 + ... + 196284.

It is an arithmetic number, because the mean of its divisors is an integer number (601958775).

Almost surely, 218500003400 is an apocalyptic number.

18500003400 is a gapful number since it is divisible by the number (10) 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 18500003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894021200).

18500003400 is an abundant number, since it is smaller than the sum of its proper divisors (39288039000).

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

18500003400 is a wasteful number, since it uses less digits than its factorization.

18500003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235519 (or 235510 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 18500003400 its reverse (430000581), we get a palindrome (18930003981).

The spelling of 18500003400 in words is "eighteen billion, five hundred million, three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 131 150 200 262 300 393 524 600 655 786 1048 1310 1572 1965 2620 3144 3275 3930 5240 6550 7860 9825 13100 15720 19650 26200 39300 78600 235369 470738 706107 941476 1176845 1412214 1882952 2353690 2824428 3530535 4707380 5648856 5884225 7061070 9414760 11768450 14122140 17652675 23536900 28244280 30833339 35305350 47073800 61666678 70610700 92500017 123333356 141221400 154166695 185000034 246666712 308333390 370000068 462500085 616666780 740000136 770833475 925000170 1233333560 1541666950 1850000340 2312500425 3083333900 3700000680 4625000850 6166667800 9250001700 18500003400