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8016041880 = 23345711223127
BaseRepresentation
bin1110111011100101…
…10001011110011000
3202200122121010020000
413131302301132120
5112404101320010
63403231333000
7402434142330
oct73562613630
922618533200
108016041880
113443934a00
121678681160
139a996ba62
145608820c0
1531db187c0
hex1ddcb1798

8016041880 has 960 divisors, whose sum is σ = 35595141120. Its totient is φ = 1580705280.

The previous prime is 8016041867. The next prime is 8016041881. The reversal of 8016041880 is 881406108.

8016041880 is a `hidden beast` number, since 8 + 0 + 160 + 418 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8016041881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 63118377 + ... + 63118503.

It is an arithmetic number, because the mean of its divisors is an integer number (37078272).

Almost surely, 28016041880 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 8016041880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17797570560).

8016041880 is an abundant number, since it is smaller than the sum of its proper divisors (27579099240).

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

8016041880 is a wasteful number, since it uses less digits than its factorization.

8016041880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8016041880 is about 89532.3510246436. The cubic root of 8016041880 is about 2001.3359307791.

Adding to 8016041880 its reverse (881406108), we get a palindrome (8897447988).

The spelling of 8016041880 in words is "eight billion, sixteen million, forty-one thousand, eight hundred eighty".