Search a number
-
+
57673088052273 = 328635617420577
BaseRepresentation
bin11010001110100000011111…
…11011010010110000110001
321120012111022200001001020100
431013100033323102300301
530024403441020133043
6322354352331503013
715101512612633011
oct1507201773226061
9246174280031210
1057673088052273
1117416023742411
1265755205b7a69
132624719b271c5
14103556c8a3c41
156a0321975cd3
hex34740fed2c31

57673088052273 has 12 divisors (see below), whose sum is σ = 83305679324868. Its totient is φ = 38448675663360.

The previous prime is 57673088052271. The next prime is 57673088052289. The reversal of 57673088052273 is 37225088037675.

57673088052273 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 30 + 8 + 8 + 0 + 522 + 73 = 666.

57673088052273 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 2 ways, for example, as 35378608832064 + 22294479220209 = 5947992^2 + 4721703^2 .

It is not a de Polignac number, because 57673088052273 - 21 = 57673088052271 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 57673088052273.

It is not an unprimeable number, because it can be changed into a prime (57673088052271) 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 in 11 ways as a sum of consecutive naturals, for example, 4061761 + ... + 11482337.

It is an arithmetic number, because the mean of its divisors is an integer number (6942139943739).

Almost surely, 257673088052273 is an apocalyptic number.

It is an amenable number.

57673088052273 is a deficient number, since it is larger than the sum of its proper divisors (25632591272595).

57673088052273 is a wasteful number, since it uses less digits than its factorization.

57673088052273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284144 (or 8284141 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 57673088052273 in words is "fifty-seven trillion, six hundred seventy-three billion, eighty-eight million, fifty-two thousand, two hundred seventy-three".

Divisors: 1 3 9 863561 2590683 7420577 7772049 22261731 66785193 6408120894697 19224362684091 57673088052273