Search a number
-
+
4663422720 = 28355112947
BaseRepresentation
bin1000101011111011…
…00010111100000000
3110001000001102100000
410111331202330000
534022314011340
62050425200000
7223364303415
oct42575427400
913030042300
104663422720
111a83420570
12aa1930000
135941c5138
143234ca10c
151c461ed30
hex115f62f00

4663422720 has 864 divisors, whose sum is σ = 19284894720. Its totient is φ = 1068318720.

The previous prime is 4663422703. The next prime is 4663422727. The reversal of 4663422720 is 272243664.

4663422720 is a `hidden beast` number, since 46 + 6 + 342 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×46634227202 = 43495022930824396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663422727) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99221737 + ... + 99221783.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 24663422720 is an apocalyptic number.

4663422720 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 4663422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9642447360).

4663422720 is an abundant number, since it is smaller than the sum of its proper divisors (14621472000).

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

4663422720 is a wasteful number, since it uses less digits than its factorization.

4663422720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 4663422720 is about 68289.2577203765. The cubic root of 4663422720 is about 1670.7120106820.

The spelling of 4663422720 in words is "four billion, six hundred sixty-three million, four hundred twenty-two thousand, seven hundred twenty".