Search a number
-
+
61748771049 = 3272118332
BaseRepresentation
bin111001100000100000…
…110111100011101001
312220101101012120122100
4321200200313203221
52002430141133144
644211134244013
74314122615400
oct714040674351
9186341176570
1061748771049
1124207631699
12bb73656609
135a90b51664
142dbac32637
15191603c269
hexe608378e9

61748771049 has 27 divisors (see below), whose sum is σ = 103763506743. Its totient is φ = 35282030112.

The previous prime is 61748770973. The next prime is 61748771059. The reversal of 61748771049 is 94017784716.

It is a happy number.

The square root of 61748771049 is 248493.

It is a perfect power (a square), and thus also a powerful number.

61748771049 is a `hidden beast` number, since 617 + 4 + 8 + 7 + 7 + 10 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58271546025 + 3477225024 = 241395^2 + 58968^2 .

It is not a de Polignac number, because 61748771049 - 219 = 61748246761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61748770986 and 61748771004.

It is not an unprimeable number, because it can be changed into a prime (61748771059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5212437 + ... + 5224269.

Almost surely, 261748771049 is an apocalyptic number.

61748771049 is the 248493-rd square number.

61748771049 is the 124247-th centered octagonal number.

It is an amenable number.

61748771049 is a deficient number, since it is larger than the sum of its proper divisors (42014735694).

61748771049 is an frugal number, since it uses more digits than its factorization.

61748771049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23686 (or 11843 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 61748771049 in words is "sixty-one billion, seven hundred forty-eight million, seven hundred seventy-one thousand, forty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 11833 35499 82831 106497 248493 579817 745479 1739451 5218353 140019889 420059667 980139223 1260179001 2940417669 6860974561 8821253007 20582923683 61748771049