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12432404000 = 25538337447
BaseRepresentation
bin10111001010000011…
…10110111000100000
31012002102202120010102
423211001312320200
5200430143412000
65413353321532
7620041455542
oct134501667040
935072676112
1012432404000
1152aa84a155
1224ab7062a8
131231910393
1485d219692
154cb6d53d5
hex2e5076e20

12432404000 has 96 divisors (see below), whose sum is σ = 30915271296. Its totient is φ = 4912915200.

The previous prime is 12432403999. The next prime is 12432404029. The reversal of 12432404000 is 40423421.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313277 + ... + 350723.

It is an arithmetic number, because the mean of its divisors is an integer number (322034076).

Almost surely, 212432404000 is an apocalyptic number.

12432404000 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 12432404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15457635648).

12432404000 is an abundant number, since it is smaller than the sum of its proper divisors (18482867296).

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

12432404000 is an equidigital number, since it uses as much as digits as its factorization.

12432404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37555 (or 37537 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 12432404000 its reverse (40423421), we get a palindrome (12472827421).

The spelling of 12432404000 in words is "twelve billion, four hundred thirty-two million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 200 250 332 400 415 500 664 800 830 1000 1328 1660 2000 2075 2656 3320 4000 4150 6640 8300 10375 13280 16600 20750 33200 37447 41500 66400 74894 83000 149788 166000 187235 299576 332000 374470 599152 748940 936175 1198304 1497880 1872350 2995760 3108101 3744700 4680875 5991520 6216202 7489400 9361750 12432404 14978800 15540505 18723500 24864808 29957600 31081010 37447000 49729616 62162020 74894000 77702525 99459232 124324040 149788000 155405050 248648080 310810100 388512625 497296160 621620200 777025250 1243240400 1554050500 2486480800 3108101000 6216202000 12432404000