Search a number
-
+
53546810513104 = 243346675657069
BaseRepresentation
bin11000010110011010101101…
…00111101001011011010000
321000121000200021212200222001
430023031112213221123100
524004302331442404404
6305515022023523344
714164425611354656
oct1413152647513320
9230530607780861
1053546810513104
1116075090632627
1260098925b9554
1323b559a4130bc
14d31972604dd6
1562cd1e8587a4
hex30b3569e96d0

53546810513104 has 10 divisors (see below), whose sum is σ = 103746945369170. Its totient is φ = 26773405256544.

The previous prime is 53546810513071. The next prime is 53546810513107. The reversal of 53546810513104 is 40131501864535.

53546810513104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53474879273104 + 71931240000 = 7312652^2 + 268200^2 .

It is a super-2 number, since 2×535468105131042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53546810513107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1673337828519 + ... + 1673337828550.

It is an arithmetic number, because the mean of its divisors is an integer number (10374694536917).

Almost surely, 253546810513104 is an apocalyptic number.

It is an amenable number.

53546810513104 is a deficient number, since it is larger than the sum of its proper divisors (50200134856066).

53546810513104 is a wasteful number, since it uses less digits than its factorization.

53546810513104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346675657077 (or 3346675657071 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 53546810513104 in words is "fifty-three trillion, five hundred forty-six billion, eight hundred ten million, five hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 3346675657069 6693351314138 13386702628276 26773405256552 53546810513104