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8061116544 = 2733132329269
BaseRepresentation
bin1111000000111101…
…01110000010000000
3202210210102011001000
413200132232002000
5113002121212134
63411521412000
7403522234335
oct74036560200
922723364030
108061116544
113467321198
12168b79a000
139b60c1360
1456685698c
15322a6de99
hex1e07ae080

8061116544 has 512 divisors, whose sum is σ = 27760320000. Its totient is φ = 2282176512.

The previous prime is 8061116543. The next prime is 8061116549. The reversal of 8061116544 is 4456111608.

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

It is a junction number, because it is equal to n+sod(n) for n = 8061116499 and 8061116508.

It is not an unprimeable number, because it can be changed into a prime (8061116543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29966842 + ... + 29967110.

It is an arithmetic number, because the mean of its divisors is an integer number (54219375).

Almost surely, 28061116544 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 8061116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160000).

8061116544 is an abundant number, since it is smaller than the sum of its proper divisors (19699203456).

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

8061116544 is a wasteful number, since it uses less digits than its factorization.

8061116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8061116544 is about 89783.7209297988. The cubic root of 8061116544 is about 2005.0801305446.

The spelling of 8061116544 in words is "eight billion, sixty-one million, one hundred sixteen thousand, five hundred forty-four".