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4260044617248 = 253719809341227
BaseRepresentation
bin111101111111011110011…
…100100011011000100000
3120002020220211111222112110
4331333132130203120200
51024244032410222443
613021012032355320
7616530606533220
oct75773634433040
916066824458473
104260044617248
1113a2747144492
125897603a5b40
1324b949b97114
1410a289baa080
1575c30a47233
hex3dfde723620

4260044617248 has 192 divisors, whose sum is σ = 13454761098240. Its totient is φ = 1152924337152.

The previous prime is 4260044617247. The next prime is 4260044617261. The reversal of 4260044617248 is 8427164400624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4260044617197 and 4260044617206.

It is not an unprimeable number, because it can be changed into a prime (4260044617243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103310811 + ... + 103352037.

It is an arithmetic number, because the mean of its divisors is an integer number (70076880720).

Almost surely, 24260044617248 is an apocalyptic number.

4260044617248 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 4260044617248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6727380549120).

4260044617248 is an abundant number, since it is smaller than the sum of its proper divisors (9194716480992).

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

4260044617248 is a wasteful number, since it uses less digits than its factorization.

4260044617248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49359 (or 49351 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 4260044617248 in words is "four trillion, two hundred sixty billion, forty-four million, six hundred seventeen thousand, two hundred forty-eight".