Search a number
-
+
5391609696256 = 21272712732
BaseRepresentation
bin100111001110101010011…
…1110110001000000000000
3201002102200112211220102111
41032131110332301000000
51201314004040240011
615244512111225104
71064350054154200
oct116352476610000
921072615756374
105391609696256
111799629129533
12730b1b218194
13301571364424
14148d534c2400
15953ac724121
hex4e754fb1000

5391609696256 has 351 divisors, whose sum is σ = 12898005027093. Its totient is φ = 2246937477120.

The previous prime is 5391609696251. The next prime is 5391609696281. The reversal of 5391609696256 is 6526969061935.

The square root of 5391609696256 is 2321984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3060540313600 + 2331069382656 = 1749440^2 + 1526784^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5391609696191 and 5391609696200.

It is not an unprimeable number, because it can be changed into a prime (5391609696251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 73857667036 + ... + 73857667108.

Almost surely, 25391609696256 is an apocalyptic number.

5391609696256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5391609696256 is the 2321984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5391609696256

5391609696256 is an abundant number, since it is smaller than the sum of its proper divisors (7506395330837).

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

5391609696256 is an frugal number, since it uses more digits than its factorization.

5391609696256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 141717600, while the sum is 67.

The spelling of 5391609696256 in words is "five trillion, three hundred ninety-one billion, six hundred nine million, six hundred ninety-six thousand, two hundred fifty-six".