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4868430336 = 293271113721
BaseRepresentation
bin1001000100010111…
…00101101000000000
3110120021210212220200
410202023211220000
534432304232321
62123031205200
7231433655310
oct44213455000
913507725820
104868430336
112079113850
12b3a516800
135c7813813
14342813440
151d7617d26
hex1222e5a00

4868430336 has 240 divisors, whose sum is σ = 17518932288. Its totient is φ = 1264435200.

The previous prime is 4868430331. The next prime is 4868430353. The reversal of 4868430336 is 6330348684.

It is a super-2 number, since 2×48684303362 = 47403227872970145792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4868430291 and 4868430300.

It is not an unprimeable number, because it can be changed into a prime (4868430331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347956 + ... + 361676.

Almost surely, 24868430336 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 4868430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759466144).

4868430336 is an abundant number, since it is smaller than the sum of its proper divisors (12650501952).

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

4868430336 is a wasteful number, since it uses less digits than its factorization.

4868430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13763 (or 13744 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4868430336 is about 69774.1380168899. The cubic root of 4868430336 is about 1694.8436997913.

The spelling of 4868430336 in words is "four billion, eight hundred sixty-eight million, four hundred thirty thousand, three hundred thirty-six".