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4858454664 = 2332723121433
BaseRepresentation
bin1001000011001011…
…00010001010001000
3110112121001001212100
410201211202022020
534422231022124
62122033313400
7231253116600
oct44145421210
913477031770
104858454664
11207351a998
12b37105860
135c573005b
14341377c00
151d67e71c9
hex121962288

4858454664 has 216 divisors, whose sum is σ = 15827337630. Its totient is φ = 1342414080.

The previous prime is 4858454663. The next prime is 4858454707. The reversal of 4858454664 is 4664548584.

4858454664 is a `hidden beast` number, since 4 + 8 + 584 + 54 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3432788100 + 1425666564 = 58590^2 + 37758^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4858454664.

It is not an unprimeable number, because it can be changed into a prime (4858454663) 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 53 ways as a sum of consecutive naturals, for example, 3389692 + ... + 3391124.

Almost surely, 24858454664 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 4858454664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913668815).

4858454664 is an abundant number, since it is smaller than the sum of its proper divisors (10968882966).

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

4858454664 is a wasteful number, since it uses less digits than its factorization.

4858454664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1476 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The square root of 4858454664 is about 69702.6159050003. The cubic root of 4858454664 is about 1693.6853000090.

The spelling of 4858454664 in words is "four billion, eight hundred fifty-eight million, four hundred fifty-four thousand, six hundred sixty-four".