Search a number
-
+
713734465248 = 2534743914819
BaseRepresentation
bin10100110001011011110…
…00111010011011100000
32112020021101022112010000
422120231320322123200
543143212010341443
61303515102340000
7102365001566160
oct12305570723340
92466241275100
10713734465248
11255769553722
12b63b028a600
13523c6a5755c
142678b41a5a0
1513874c388d3
hexa62de3a6e0

713734465248 has 240 divisors, whose sum is σ = 2454732846720. Its totient is φ = 199181493504.

The previous prime is 713734465201. The next prime is 713734465259. The reversal of 713734465248 is 842564437317.

713734465248 is a `hidden beast` number, since 7 + 1 + 3 + 73 + 4 + 46 + 524 + 8 = 666.

713734465248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 713734465194 and 713734465203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322783 + ... + 1237601.

It is an arithmetic number, because the mean of its divisors is an integer number (10228053528).

Almost surely, 2713734465248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713734465248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227366423360).

713734465248 is an abundant number, since it is smaller than the sum of its proper divisors (1740998381472).

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

713734465248 is a wasteful number, since it uses less digits than its factorization.

713734465248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914891 (or 914874 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 713734465248 in words is "seven hundred thirteen billion, seven hundred thirty-four million, four hundred sixty-five thousand, two hundred forty-eight".