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881120064 = 263112172397
BaseRepresentation
bin110100100001001…
…101001101000000
32021101222112111110
4310201031031000
53301031320224
6223233243320
730556253106
oct6441151500
92241875443
10881120064
11412407600
12207103540
13110716026
1485043c76
155254c929
hex3484d340

881120064 has 336 divisors, whose sum is σ = 2860389504. Its totient is φ = 237895680.

The previous prime is 881120063. The next prime is 881120083. The reversal of 881120064 is 460021188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881120063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9083664 + ... + 9083760.

It is an arithmetic number, because the mean of its divisors is an integer number (8513064).

Almost surely, 2881120064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 881120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430194752).

881120064 is an abundant number, since it is smaller than the sum of its proper divisors (1979269440).

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

881120064 is a wasteful number, since it uses less digits than its factorization.

881120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 881120064 is about 29683.6666198770. Note that the first 4 decimals coincide. The cubic root of 881120064 is about 958.6903669875.

The spelling of 881120064 in words is "eight hundred eighty-one million, one hundred twenty thousand, sixty-four".