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8063412480 = 283253167337
BaseRepresentation
bin1111000001001110…
…11110100100000000
3202210221201210110200
413200213132210000
5113003213144410
63412042525200
7403550606124
oct74047364400
922727653420
108063412480
11346864a162
121690506800
139b67163b6
14566c93584
15322d743c0
hex1e09de900

8063412480 has 432 divisors, whose sum is σ = 29315080704. Its totient is φ = 2043740160.

The previous prime is 8063412457. The next prime is 8063412491. The reversal of 8063412480 is 842143608.

8063412480 is a `hidden beast` number, since 8 + 0 + 634 + 12 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23926872 + ... + 23927208.

Almost surely, 28063412480 is an apocalyptic number.

8063412480 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 8063412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14657540352).

8063412480 is an abundant number, since it is smaller than the sum of its proper divisors (21251668224).

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

8063412480 is a wasteful number, since it uses less digits than its factorization.

8063412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8063412480 is about 89796.5059453874. The cubic root of 8063412480 is about 2005.2704721945.

The spelling of 8063412480 in words is "eight billion, sixty-three million, four hundred twelve thousand, four hundred eighty".