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12248028450 = 2325274782729
BaseRepresentation
bin10110110100000101…
…00001010100100010
31011121120211022102100
423122002201110202
5200040443402300
65343205431230
7612342344520
oct133202412442
934546738370
1012248028450
115215769069
122459a0b516
131202666a18
14842943310
154ba415700
hex2da0a1522

12248028450 has 144 divisors (see below), whose sum is σ = 38407898880. Its totient is φ = 2739951360.

The previous prime is 12248028449. The next prime is 12248028451. The reversal of 12248028450 is 5482084221.

12248028450 is a `hidden beast` number, since 122 + 4 + 80 + 2 + 8 + 450 = 666.

It is an interprime number because it is at equal distance from previous prime (12248028449) and next prime (12248028451).

It is not an unprimeable number, because it can be changed into a prime (12248028451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 106686 + ... + 189414.

It is an arithmetic number, because the mean of its divisors is an integer number (266721520).

Almost surely, 212248028450 is an apocalyptic number.

12248028450 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 12248028450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203949440).

12248028450 is an abundant number, since it is smaller than the sum of its proper divisors (26159870430).

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

12248028450 is a wasteful number, since it uses less digits than its factorization.

12248028450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82801 (or 82793 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12248028450 in words is "twelve billion, two hundred forty-eight million, twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 47 50 63 70 75 90 94 105 126 141 150 175 210 225 235 282 315 329 350 423 450 470 525 630 658 705 846 987 1050 1175 1410 1575 1645 1974 2115 2350 2961 3150 3290 3525 4230 4935 5922 7050 8225 9870 10575 14805 16450 21150 24675 29610 49350 74025 82729 148050 165458 248187 413645 496374 579103 744561 827290 1158206 1240935 1489122 1737309 2068225 2481870 2895515 3474618 3722805 3888263 4136450 5211927 5791030 6204675 7445610 7776526 8686545 10423854 11664789 12409350 14477575 17373090 18614025 19441315 23329578 26059635 27217841 28955150 34994367 37228050 38882630 43432725 52119270 54435682 58323945 69988734 81653523 86865450 97206575 116647890 130298175 136089205 163307046 174971835 194413150 244960569 260596350 272178410 291619725 349943670 408267615 489921138 583239450 680446025 816535230 874859175 1224802845 1360892050 1749718350 2041338075 2449605690 4082676150 6124014225 12248028450