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4639023648 = 2532721761317
BaseRepresentation
bin1000101001000000…
…11110001000100000
3102222022010211002200
410110200132020200
534000042224043
62044154213200
7222650023200
oct42440361040
912868124080
104639023648
111a70676146
12a95724200
1358c13160c
14320178400
151c24007d3
hex11481e220

4639023648 has 432 divisors, whose sum is σ = 16567236504. Its totient is φ = 1223147520.

The previous prime is 4639023643. The next prime is 4639023659. The reversal of 4639023648 is 8463209364.

4639023648 is a `hidden beast` number, since 4 + 639 + 0 + 2 + 3 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2157788304 + 2481235344 = 46452^2 + 49812^2 .

It is not an unprimeable number, because it can be changed into a prime (4639023643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14633986 + ... + 14634302.

Almost surely, 24639023648 is an apocalyptic number.

4639023648 is a gapful number since it is divisible by the number (48) 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 4639023648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283618252).

4639023648 is an abundant number, since it is smaller than the sum of its proper divisors (11928212856).

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

4639023648 is a wasteful number, since it uses less digits than its factorization.

4639023648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4639023648 is about 68110.3784162150. The cubic root of 4639023648 is about 1667.7931872704.

The spelling of 4639023648 in words is "four billion, six hundred thirty-nine million, twenty-three thousand, six hundred forty-eight".