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12425205450 = 2352789132961
BaseRepresentation
bin10111001001001100…
…11001011011001010
31012001221012211120110
423210212121123022
5200421323033300
65412535135150
7616623334530
oct134446313312
935057184513
1012425205450
1152a6782839
1224a92144b6
13123028c998
1485c2a4150
154cac62550
hex2e49996ca

12425205450 has 96 divisors (see below), whose sum is σ = 35612542080. Its totient is φ = 2808115200.

The previous prime is 12425205437. The next prime is 12425205451. The reversal of 12425205450 is 5450252421.

12425205450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12425205451) 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 47 ways as a sum of consecutive naturals, for example, 26970 + ... + 159930.

It is an arithmetic number, because the mean of its divisors is an integer number (370963980).

Almost surely, 212425205450 is an apocalyptic number.

12425205450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12425205450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806271040).

12425205450 is an abundant number, since it is smaller than the sum of its proper divisors (23187336630).

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

12425205450 is a wasteful number, since it uses less digits than its factorization.

12425205450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133072 (or 133067 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 12425205450 its reverse (5450252421), we get a palindrome (17875457871).

The spelling of 12425205450 in words is "twelve billion, four hundred twenty-five million, two hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 89 105 150 175 178 210 267 350 445 525 534 623 890 1050 1246 1335 1869 2225 2670 3115 3738 4450 6230 6675 9345 13350 15575 18690 31150 46725 93450 132961 265922 398883 664805 797766 930727 1329610 1861454 1994415 2792181 3324025 3988830 4653635 5584362 6648050 9307270 9972075 11833529 13960905 19944150 23268175 23667058 27921810 35500587 46536350 59167645 69804525 71001174 82834703 118335290 139609050 165669406 177502935 248504109 295838225 355005870 414173515 497008218 591676450 828347030 887514675 1242520545 1775029350 2070867575 2485041090 4141735150 6212602725 12425205450