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8060532480 = 2833571113233
BaseRepresentation
bin1111000000111000…
…11111011100000000
3202210202022110212000
413200130133130000
5113001444014410
63411501104000
7403514252460
oct74034373400
922722273760
108060532480
113466a623a0
12168b558000
139b5c48560
14566743ba0
153229a5dc0
hex1e071f700

8060532480 has 1152 divisors, whose sum is σ = 38569789440. Its totient is φ = 1539440640.

The previous prime is 8060532463. The next prime is 8060532499. The reversal of 8060532480 is 842350608.

8060532480 is a `hidden beast` number, since 8 + 0 + 605 + 3 + 2 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×80605324802 (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 34594444 + ... + 34594676.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 28060532480 is an apocalyptic number.

8060532480 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 8060532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19284894720).

8060532480 is an abundant number, since it is smaller than the sum of its proper divisors (30509256960).

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

8060532480 is a wasteful number, since it uses less digits than its factorization.

8060532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8060532480 is about 89780.4682545151. The cubic root of 8060532480 is about 2005.0317036962.

The spelling of 8060532480 in words is "eight billion, sixty million, five hundred thirty-two thousand, four hundred eighty".