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4223355193728 = 273211717364303
BaseRepresentation
bin111101011101010011100…
…101100000100110000000
3112221202012212220011012200
4331131103211200212000
51023143412412144403
612552103234553200
7614061451554666
oct75352345404600
915852185804180
104223355193728
1113891299a4570
12582621138800
1324835095ac68
141085a916cc36
1574cd4a01ca3
hex3d753960980

4223355193728 has 384 divisors, whose sum is σ = 13629093903360. Its totient is φ = 1244475187200.

The previous prime is 4223355193723. The next prime is 4223355193741. The reversal of 4223355193728 is 8273915533224.

4223355193728 is a `hidden beast` number, since 4 + 2 + 2 + 33 + 551 + 9 + 37 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223355193723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65646825 + ... + 65711127.

It is an arithmetic number, because the mean of its divisors is an integer number (35492432040).

Almost surely, 24223355193728 is an apocalyptic number.

4223355193728 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 4223355193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6814546951680).

4223355193728 is an abundant number, since it is smaller than the sum of its proper divisors (9405738709632).

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

4223355193728 is a wasteful number, since it uses less digits than its factorization.

4223355193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64478 (or 64463 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 4223355193728 in words is "four trillion, two hundred twenty-three billion, three hundred fifty-five million, one hundred ninety-three thousand, seven hundred twenty-eight".