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12148481250 = 2355519421
BaseRepresentation
bin10110101000001101…
…10001110011100010
31011100122111210100000
423110012301303202
5144340002400000
65325252040430
7610023246453
oct132406616342
934318453300
1012148481250
115174556854
122430603116
1311b7b51359
1483362d12a
154b1800000
hex2d41b1ce2

12148481250 has 288 divisors, whose sum is σ = 35999570880. Its totient is φ = 3061800000.

The previous prime is 12148481249. The next prime is 12148481273. The reversal of 12148481250 is 5218484121.

12148481250 is a `hidden beast` number, since 12 + 148 + 481 + 25 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28856040 + ... + 28856460.

It is an arithmetic number, because the mean of its divisors is an integer number (124998510).

Almost surely, 212148481250 is an apocalyptic number.

12148481250 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 12148481250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17999785440).

12148481250 is an abundant number, since it is smaller than the sum of its proper divisors (23851089630).

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

12148481250 is an frugal number, since it uses more digits than its factorization.

12148481250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 12148481250 in words is "twelve billion, one hundred forty-eight million, four hundred eighty-one thousand, two hundred fifty".