Search a number
-
+
53181493297296 = 243721319718674729
BaseRepresentation
bin11000001011110010010000…
…00001000100000010010000
320222022002201201002022121220
430011321020001010002100
523432311144241003141
6305035124000045040
714126143660305600
oct1405711001040220
9228262651068556
1053181493297296
1115a44165589341
125b6ab1a603780
132389cbb380890
14d1bdd8776c00
1562358cc30766
hex305e48044090

53181493297296 has 480 divisors, whose sum is σ = 173112241357440. Its totient is φ = 13944267251712.

The previous prime is 53181493297277. The next prime is 53181493297307. The reversal of 53181493297296 is 69279239418135.

It is a self number, because there is not a number n which added to its sum of digits gives 53181493297296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11245819860 + ... + 11245824588.

It is an arithmetic number, because the mean of its divisors is an integer number (360650502828).

Almost surely, 253181493297296 is an apocalyptic number.

53181493297296 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 53181493297296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86556120678720).

53181493297296 is an abundant number, since it is smaller than the sum of its proper divisors (119930748060144).

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

53181493297296 is a wasteful number, since it uses less digits than its factorization.

53181493297296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6818 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 69.

The spelling of 53181493297296 in words is "fifty-three trillion, one hundred eighty-one billion, four hundred ninety-three million, two hundred ninety-seven thousand, two hundred ninety-six".