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13432450000 = 24552331153
BaseRepresentation
bin11001000001010001…
…01110101111010000
31021200010112011100011
430200220232233100
5210002201400000
610100520004304
7653603640544
oct144050565720
937603464304
1013432450000
1157732a4552
12272a600694
131360b65488
14915d79a24
155393c52ba
hex320a2ebd0

13432450000 has 120 divisors (see below), whose sum is σ = 32697579096. Its totient is φ = 5345280000.

The previous prime is 13432449991. The next prime is 13432450019. The reversal of 13432450000 is 5423431.

It can be written as a sum of positive squares in 12 ways, for example, as 13417052224 + 15397776 = 115832^2 + 3924^2 .

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, 11649424 + ... + 11650576.

Almost surely, 213432450000 is an apocalyptic number.

13432450000 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 13432450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348789548).

13432450000 is an abundant number, since it is smaller than the sum of its proper divisors (19265129096).

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

13432450000 is an equidigital number, since it uses as much as digits as its factorization.

13432450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1393 counting only the distinct ones).

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

Adding to 13432450000 its reverse (5423431), we get a palindrome (13437873431).

The spelling of 13432450000 in words is "thirteen billion, four hundred thirty-two million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 233 250 400 466 500 625 932 1000 1153 1165 1250 1864 2000 2306 2330 2500 3125 3728 4612 4660 5000 5765 5825 6250 9224 9320 10000 11530 11650 12500 18448 18640 23060 23300 25000 28825 29125 46120 46600 50000 57650 58250 92240 93200 115300 116500 144125 145625 230600 233000 268649 288250 291250 461200 466000 537298 576500 582500 720625 728125 1074596 1153000 1165000 1343245 1441250 1456250 2149192 2306000 2330000 2686490 2882500 2912500 3603125 4298384 5372980 5765000 5825000 6716225 7206250 10745960 11530000 11650000 13432450 14412500 21491920 26864900 28825000 33581125 53729800 57650000 67162250 107459600 134324500 167905625 268649000 335811250 537298000 671622500 839528125 1343245000 1679056250 2686490000 3358112500 6716225000 13432450000