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4717683648 = 2635439691
BaseRepresentation
bin1000110010011001…
…00010001111000000
3110011210011011100000
410121030202033000
534130211334043
62100044200000
7224623435506
oct43114421700
913153134300
104717683648
112001011607
12ab7b39000
135a2512ab2
1432a7b2676
151c928c2d3
hex1193223c0

4717683648 has 168 divisors, whose sum is σ = 14075501440. Its totient is φ = 1566708480.

The previous prime is 4717683643. The next prime is 4717683667. The reversal of 4717683648 is 8463867174.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4717683594 and 4717683603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4717683643) 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, 6826983 + ... + 6827673.

Almost surely, 24717683648 is an apocalyptic number.

4717683648 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 4717683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037750720).

4717683648 is an abundant number, since it is smaller than the sum of its proper divisors (9357817792).

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

4717683648 is an equidigital number, since it uses as much as digits as its factorization.

4717683648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1135 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4717683648 is about 68685.3961770623. The cubic root of 4717683648 is about 1677.1668575435.

The spelling of 4717683648 in words is "four billion, seven hundred seventeen million, six hundred eighty-three thousand, six hundred forty-eight".