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12542000000 = 27566271
BaseRepresentation
bin10111010111000111…
…11011101110000000
31012101001222121120112
423223203323232000
5201141223000000
65432310330452
7622542145445
oct135343735600
935331877515
1012542000000
1153566a5262
122520359a28
13124b53389a
1486d9c79cc
154d6133235
hex2eb8fbb80

12542000000 has 112 divisors (see below), whose sum is σ = 31237100160. Its totient is φ = 5016000000.

The previous prime is 12541999991. The next prime is 12542000021. The reversal of 12542000000 is 24521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1996865 + ... + 2003135.

It is an arithmetic number, because the mean of its divisors is an integer number (278902680).

Almost surely, 212542000000 is an apocalyptic number.

12542000000 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 12542000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618550080).

12542000000 is an abundant number, since it is smaller than the sum of its proper divisors (18695100160).

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

12542000000 is an frugal number, since it uses more digits than its factorization.

12542000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6315 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 12542000000 its reverse (24521), we get a palindrome (12542024521).

The spelling of 12542000000 in words is "twelve billion, five hundred forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 6271 8000 10000 12500 12542 15625 16000 20000 25000 25084 31250 31355 40000 50000 50168 62500 62710 80000 100000 100336 125000 125420 156775 200000 200672 250000 250840 313550 400000 401344 500000 501680 627100 783875 802688 1000000 1003360 1254200 1567750 2000000 2006720 2508400 3135500 3919375 4013440 5016800 6271000 7838750 10033600 12542000 15677500 19596875 20067200 25084000 31355000 39193750 50168000 62710000 78387500 97984375 100336000 125420000 156775000 195968750 250840000 313550000 391937500 501680000 627100000 783875000 1254200000 1567750000 2508400000 3135500000 6271000000 12542000000