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5294417856 = 263721373593
BaseRepresentation
bin1001110111001001…
…00110011111000000
3111122222101021221020
410323210212133000
541320332332411
62233205425440
7245125544400
oct47344463700
914588337836
105294417856
112277619552
12103910b280
13664b53940
14383220800
1520ec11606
hex13b9267c0

5294417856 has 336 divisors, whose sum is σ = 17819059104. Its totient is φ = 1374879744.

The previous prime is 5294417827. The next prime is 5294417897. The reversal of 5294417856 is 6587144925.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 5294417799 and 5294417808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8927896 + ... + 8928488.

It is an arithmetic number, because the mean of its divisors is an integer number (53032914).

Almost surely, 25294417856 is an apocalyptic number.

5294417856 is a gapful number since it is divisible by the number (56) 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 5294417856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8909529552).

5294417856 is an abundant number, since it is smaller than the sum of its proper divisors (12524641248).

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

5294417856 is a wasteful number, since it uses less digits than its factorization.

5294417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 691 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The square root of 5294417856 is about 72762.7504702784. The cubic root of 5294417856 is about 1742.9010766264.

The spelling of 5294417856 in words is "five billion, two hundred ninety-four million, four hundred seventeen thousand, eight hundred fifty-six".