Search a number
-
+
62055293881 = 7219218732
BaseRepresentation
bin111001110010110010…
…001010001110111001
312221011201222112220211
4321302302022032321
52004042123401011
644301404151121
74324534203100
oct716262121671
9187151875824
1062055293881
1124354660849
121003a2384a1
135b0c4c4409
143009823037
151932dd8b21
hexe72c8a3b9

62055293881 has 27 divisors (see below), whose sum is σ = 76226735151. Its totient is φ = 50363861184.

The previous prime is 62055293849. The next prime is 62055293929. The reversal of 62055293881 is 18839255026.

It is a happy number.

The square root of 62055293881 is 249109.

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., 1645519225 + 60409774656 = 40565^2 + 245784^2 .

It is not a de Polignac number, because 62055293881 - 25 = 62055293849 is a prime.

It is a super-2 number, since 2×620552938812 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (62055293581) 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, 33130561 + ... + 33132433.

It is an arithmetic number, because the mean of its divisors is an integer number (2823212413).

Almost surely, 262055293881 is an apocalyptic number.

62055293881 is the 249109-th square number.

62055293881 is the 124555-th centered octagonal number.

It is an amenable number.

62055293881 is a deficient number, since it is larger than the sum of its proper divisors (14171441270).

62055293881 is an frugal number, since it uses more digits than its factorization.

62055293881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 62055293881 by its sum of digits (49), we get a square (3040709400169 = 17437632).

62055293881 divided by its sum of digits (49) gives a square (1266434569 = 355872).

The spelling of 62055293881 in words is "sixty-two billion, fifty-five million, two hundred ninety-three thousand, eight hundred eighty-one".

Divisors: 1 7 19 49 133 361 931 1873 2527 13111 17689 35587 91777 249109 676153 1743763 3508129 4733071 24556903 33131497 66654451 171898321 466581157 1266434569 3266068099 8865041983 62055293881