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28421466412482 = 233111343337499509
BaseRepresentation
bin1100111011001011000110…
…11010001101010111000010
310201122001202212021000112000
412131211203122031113002
512211124130400144412
6140240350314044430
75662245301314123
oct635454332152702
9121561685230460
1028421466412482
119068526931030
12323032b719716
1312b2195953240
1470386ba2404a
153444930734dc
hex19d96368d5c2

28421466412482 has 512 divisors, whose sum is σ = 76453977600000. Its totient is φ = 7711438049280.

The previous prime is 28421466412481. The next prime is 28421466412483.

28421466412482 is a `hidden beast` number, since 2 + 8 + 4 + 2 + 146 + 6 + 4 + 12 + 482 = 666.

28421466412482 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (28421466412481) and next prime (28421466412483).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28421466412481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55837851244 + ... + 55837851752.

It is an arithmetic number, because the mean of its divisors is an integer number (149324175000).

Almost surely, 228421466412482 is an apocalyptic number.

28421466412482 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28421466412482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38226988800000).

28421466412482 is an abundant number, since it is smaller than the sum of its proper divisors (48032511187518).

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

28421466412482 is a wasteful number, since it uses less digits than its factorization.

28421466412482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 28421466412482 in words is "twenty-eight trillion, four hundred twenty-one billion, four hundred sixty-six million, four hundred twelve thousand, four hundred eighty-two".