Search a number
-
+
61426152649 = 1726122392
BaseRepresentation
bin111001001101010010…
…001011010011001001
312212112220010212101201
4321031102023103021
52001300043341044
644115131344201
74303124453101
oct711522132311
9185486125351
1061426152649
1124061509714
12baa35b2061
135a3c0646b4
142d8a052201
1518e7a617d4
hexe4d48b4c9

61426152649 has 27 divisors (see below), whose sum is σ = 66617975541. Its totient is φ = 56627168640.

The previous prime is 61426152643. The next prime is 61426152659. The reversal of 61426152649 is 94625162416.

The square root of 61426152649 is 247843.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5667831225 + 55758321424 = 75285^2 + 236132^2 .

It is not a de Polignac number, because 61426152649 - 25 = 61426152617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61426152599 and 61426152608.

It is not an unprimeable number, because it can be changed into a prime (61426152643) 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, 257013072 + ... + 257013310.

Almost surely, 261426152649 is an apocalyptic number.

61426152649 is the 247843-rd square number.

61426152649 is the 123922-nd centered octagonal number.

It is an amenable number.

61426152649 is a deficient number, since it is larger than the sum of its proper divisors (5191822892).

61426152649 is an frugal number, since it uses more digits than its factorization.

61426152649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The spelling of 61426152649 in words is "sixty-one billion, four hundred twenty-six million, one hundred fifty-two thousand, six hundred forty-nine".

Divisors: 1 17 61 239 289 1037 3721 4063 14579 17629 57121 63257 69071 247843 889319 971057 1075369 3484381 4213331 15118423 16507969 59234477 212547241 257013191 1006986109 3613303097 61426152649