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4260169728 = 2113461421
BaseRepresentation
bin1111110111101101…
…0000100000000000
3101222220021001020000
43331323100200000
532211100412403
61542422120000
7210366562623
oct37573204000
911886231200
104260169728
111896833631
129aa880000
1352b7b4cb9
142c5b19dba
1519e0177a3
hexfded0800

4260169728 has 240 divisors, whose sum is σ = 12964131180. Its totient is φ = 1393459200.

The previous prime is 4260169691. The next prime is 4260169747. The reversal of 4260169728 is 8279610624.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2657608704 + 1602561024 = 51552^2 + 40032^2 .

It is a super-2 number, since 2×42601697282 = 36298092222735187968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10118958 + ... + 10119378.

Almost surely, 24260169728 is an apocalyptic number.

4260169728 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 4260169728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482065590).

4260169728 is an abundant number, since it is smaller than the sum of its proper divisors (8703961452).

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

4260169728 is an equidigital number, since it uses as much as digits as its factorization.

4260169728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4260169728 is about 65269.9757009301. The cubic root of 4260169728 is about 1621.0968703316.

The spelling of 4260169728 in words is "four billion, two hundred sixty million, one hundred sixty-nine thousand, seven hundred twenty-eight".