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12433540000 = 2554788811
BaseRepresentation
bin10111001010001100…
…01100001110100000
31012002111220021102111
423211012030032200
5200430441240000
65413433525104
7620054226520
oct134506141640
935074807374
1012433540000
1153004556a2
1224abb73794
131231c1a47b
1485d433680
154cb85bcba
hex2e518c3a0

12433540000 has 120 divisors (see below), whose sum is σ = 34958534688. Its totient is φ = 4262880000.

The previous prime is 12433539967. The next prime is 12433540001. The reversal of 12433540000 is 4533421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433540001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95595 + ... + 184405.

Almost surely, 212433540000 is an apocalyptic number.

12433540000 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 12433540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17479267344).

12433540000 is an abundant number, since it is smaller than the sum of its proper divisors (22524994688).

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

12433540000 is an frugal number, since it uses more digits than its factorization.

12433540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88848 (or 88825 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The spelling of 12433540000 in words is "twelve billion, four hundred thirty-three million, five hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 88811 140000 177622 355244 444055 621677 710488 888110 1243354 1420976 1776220 2220275 2486708 2841952 3108385 3552440 4440550 4973416 6216770 7104880 8881100 9946832 11101375 12433540 14209760 15541925 17762200 19893664 22202750 24867080 31083850 35524400 44405500 49734160 55506875 62167700 71048800 77709625 88811000 99468320 111013750 124335400 155419250 177622000 222027500 248670800 310838500 355244000 388548125 444055000 497341600 621677000 777096250 888110000 1243354000 1554192500 1776220000 2486708000 3108385000 6216770000 12433540000