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4819783680 = 21232579331
BaseRepresentation
bin1000111110100100…
…00001000000000000
3110102220021101020200
410133102001000000
534332331034210
62114132405200
7230303325315
oct43722010000
913386241220
104819783680
1120537078a8
12b26176800
135ba71040a
1433a18cd0c
151d32090c0
hex11f481000

4819783680 has 312 divisors, whose sum is σ = 16969130880. Its totient is φ = 1265172480.

The previous prime is 4819783669. The next prime is 4819783681. The reversal of 4819783680 is 863879184.

4819783680 is a `hidden beast` number, since 481 + 9 + 7 + 83 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (4819783681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14561115 + ... + 14561445.

It is an arithmetic number, because the mean of its divisors is an integer number (54388240).

Almost surely, 24819783680 is an apocalyptic number.

4819783680 is a gapful number since it is divisible by the number (40) 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 4819783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484565440).

4819783680 is an abundant number, since it is smaller than the sum of its proper divisors (12149347200).

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

4819783680 is a wasteful number, since it uses less digits than its factorization.

4819783680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 4819783680 is about 69424.6619005091. The cubic root of 4819783680 is about 1689.1796819485.

The spelling of 4819783680 in words is "four billion, eight hundred nineteen million, seven hundred eighty-three thousand, six hundred eighty".