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8502721920 = 27325711191009
BaseRepresentation
bin1111110101100110…
…10011110110000000
3210221120101000201200
413322303103312000
5114403144100140
63523414501200
7420463641510
oct77263236600
923846330650
108502721920
113673623910
121793664800
13a5673c104
145a936b840
1534b700030
hex1facd3d80

8502721920 has 768 divisors, whose sum is σ = 38570688000. Its totient is φ = 1672151040.

The previous prime is 8502721861. The next prime is 8502721963. The reversal of 8502721920 is 291272058.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8426376 + ... + 8427384.

It is an arithmetic number, because the mean of its divisors is an integer number (50222250).

Almost surely, 28502721920 is an apocalyptic number.

8502721920 is a gapful number since it is divisible by the number (80) 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 8502721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19285344000).

8502721920 is an abundant number, since it is smaller than the sum of its proper divisors (30067966080).

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

8502721920 is a wasteful number, since it uses less digits than its factorization.

8502721920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 8502721920 is about 92210.2050751434. The cubic root of 8502721920 is about 2041.0453696443.

Adding to 8502721920 its reverse (291272058), we get a palindrome (8793993978).

The spelling of 8502721920 in words is "eight billion, five hundred two million, seven hundred twenty-one thousand, nine hundred twenty".