Search a number
-
+
5397824753664 = 21237237934537
BaseRepresentation
bin100111010001100011101…
…1011010101000000000000
3201010000201200120112101220
41032203013123111000000
51201414221114104124
615251420525355040
71064660062242120
oct116430733250000
921100650515356
105397824753664
1117a1228397112
12732174708a80
13302021b59ca5
14149382ab2c80
159562318c879
hex4e8c76d5000

5397824753664 has 416 divisors, whose sum is σ = 17381422571520. Its totient is φ = 1456466558976.

The previous prime is 5397824753647. The next prime is 5397824753683. The reversal of 5397824753664 is 4663574287935.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156273804 + ... + 156308340.

Almost surely, 25397824753664 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 5397824753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8690711285760).

5397824753664 is an abundant number, since it is smaller than the sum of its proper divisors (11983597817856).

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

5397824753664 is a wasteful number, since it uses less digits than its factorization.

5397824753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34673 (or 34651 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 69.

The spelling of 5397824753664 in words is "five trillion, three hundred ninety-seven billion, eight hundred twenty-four million, seven hundred fifty-three thousand, six hundred sixty-four".