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52678053289 = 1722325872
BaseRepresentation
bin110001000011110110…
…110100110110101001
312000222020001101002201
4301003312310312221
51330341040201124
640111105300201
73543261031201
oct610366646651
9160866041081
1052678053289
112038242a134
12a261934661
134c76840c44
14279a28d401
151584a42144
hexc43db4da9

52678053289 has 27 divisors (see below), whose sum is σ = 58597649047. Its totient is φ = 47342930624.

The previous prime is 52678053287. The next prime is 52678053293. The reversal of 52678053289 is 98235087625.

The square root of 52678053289 is 229517.

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., 41012325225 + 11665728064 = 202515^2 + 108008^2 .

It is not a de Polignac number, because 52678053289 - 21 = 52678053287 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52678053287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 89740854 + ... + 89741440.

Almost surely, 252678053289 is an apocalyptic number.

52678053289 is the 229517-th square number.

52678053289 is the 114759-th centered octagonal number.

It is an amenable number.

52678053289 is a deficient number, since it is larger than the sum of its proper divisors (5919595758).

52678053289 is an frugal number, since it uses more digits than its factorization.

52678053289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 52678053289 in words is "fifty-two billion, six hundred seventy-eight million, fifty-three thousand, two hundred eighty-nine".

Divisors: 1 17 23 289 391 529 587 6647 8993 9979 13501 152881 169643 229517 310523 344569 3901789 5278891 5857673 7925087 89741147 99580441 134726479 182277001 2290350143 3098709017 52678053289