Search a number
-
+
655049041201 = 732110872
BaseRepresentation
bin10011000100000111111…
…01110010010100110001
32022121210111100002120001
421202003331302110301
541213020023304301
61220531514150001
765216503660342
oct11420375622461
92277714302501
10655049041201
11232894119a75
12a6b52722301
1349a03769979
14239c13a00c9
151208cb04c01
hex9883f72531

655049041201 has 9 divisors (see below), whose sum is σ = 664205145771. Its totient is φ = 646017493392.

The previous prime is 655049041177. The next prime is 655049041211. The reversal of 655049041201 is 102140940556.

The square root of 655049041201 is 809351.

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., 371837746225 + 283211294976 = 609785^2 + 532176^2 .

It is not a de Polignac number, because 655049041201 - 29 = 655049040689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (655049041211) 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 8 ways as a sum of consecutive naturals, for example, 59077080 + ... + 59088166.

Almost surely, 2655049041201 is an apocalyptic number.

655049041201 is the 809351-st square number.

655049041201 is the 404676-th centered octagonal number.

It is an amenable number.

655049041201 is a deficient number, since it is larger than the sum of its proper divisors (9156104570).

655049041201 is an frugal number, since it uses more digits than its factorization.

655049041201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22320 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

Adding to 655049041201 its reverse (102140940556), we get a palindrome (757189981757).

The spelling of 655049041201 in words is "six hundred fifty-five billion, forty-nine million, forty-one thousand, two hundred one".

Divisors: 1 73 5329 11087 809351 59082623 122921569 8973274537 655049041201