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42486888868424 = 237111397101541549
BaseRepresentation
bin10011010100100001111111…
…11010110010101001001000
312120102201002100002002012022
421222100333322302221020
521032101122022242144
6230210112435304012
711643401466456650
oct1152207772625110
9176381070062168
1042486888868424
11125a0652154120
1249222b114b008
131a9265b867780
14a6c53ab75360
154da2ac777cee
hex26a43feb2a48

42486888868424 has 256 divisors, whose sum is σ = 109132809408000. Its totient is φ = 14972719104000.

The previous prime is 42486888868399. The next prime is 42486888868447.

42486888868424 is nontrivially palindromic in base 10.

42486888868424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424868888684242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 78183602 + ... + 78725150.

It is an arithmetic number, because the mean of its divisors is an integer number (426300036750).

Almost surely, 242486888868424 is an apocalyptic number.

42486888868424 is a gapful number since it is divisible by the number (44) 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 42486888868424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54566404704000).

42486888868424 is an abundant number, since it is smaller than the sum of its proper divisors (66645920539576).

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

42486888868424 is a wasteful number, since it uses less digits than its factorization.

42486888868424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541784 (or 541780 counting only the distinct ones).

The product of its digits is 9663676416, while the sum is 80.

The spelling of 42486888868424 in words is "forty-two trillion, four hundred eighty-six billion, eight hundred eighty-eight million, eight hundred sixty-eight thousand, four hundred twenty-four".