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42868488486824 = 237211132333282163
BaseRepresentation
bin10011011111101000110010…
…00001110011111110101000
312121210012001200002012212022
421233310121001303332220
521104324131023034244
6231101302311404012
712013101051634400
oct1157643101637650
9177705050065768
1042868488486824
1112728473198480
12498424a083608
131abc63402c340
14a82bbb287800
154e5193a7b6ee
hex26fd19073fa8

42868488486824 has 192 divisors, whose sum is σ = 110319308648640. Its totient is φ = 15351065533440.

The previous prime is 42868488486787. The next prime is 42868488486839.

42868488486824 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11419967 + ... + 14702129.

It is an arithmetic number, because the mean of its divisors is an integer number (574579732545).

Almost surely, 242868488486824 is an apocalyptic number.

42868488486824 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 42868488486824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55159654324320).

42868488486824 is an abundant number, since it is smaller than the sum of its proper divisors (67450820161816).

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

42868488486824 is a wasteful number, since it uses less digits than its factorization.

42868488486824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282440 (or 3282429 counting only the distinct ones).

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

The spelling of 42868488486824 in words is "forty-two trillion, eight hundred sixty-eight billion, four hundred eighty-eight million, four hundred eighty-six thousand, eight hundred twenty-four".