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4927680576 = 263371331337
BaseRepresentation
bin1001001011011011…
…00111000001000000
3110201102022002222000
410211231213001000
540042441234301
62132545144000
7233053410450
oct44555470100
913642262860
104927680576
1120a9602395
12b5632b000
13606b8a430
1434a637d60
151dc91d786
hex125b67040

4927680576 has 224 divisors, whose sum is σ = 17830068480. Its totient is φ = 1299566592.

The previous prime is 4927680559. The next prime is 4927680599. The reversal of 4927680576 is 6750867294.

4927680576 is a `hidden beast` number, since 4 + 9 + 2 + 7 + 68 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141580 + ... + 172916.

It is an arithmetic number, because the mean of its divisors is an integer number (79598520).

Almost surely, 24927680576 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 4927680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8915034240).

4927680576 is an abundant number, since it is smaller than the sum of its proper divisors (12902387904).

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

4927680576 is a wasteful number, since it uses less digits than its factorization.

4927680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31378 (or 31362 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4927680576 is about 70197.4399533202. The cubic root of 4927680576 is about 1701.6915776058.

The spelling of 4927680576 in words is "four billion, nine hundred twenty-seven million, six hundred eighty thousand, five hundred seventy-six".