Search a number
-
+
49391951049 = 32721925572
BaseRepresentation
bin101101111111111111…
…010101110011001001
311201111012200002021100
4231333333111303021
51302123314413144
634405040532013
73365656441200
oct557777256311
9151435602240
1049391951049
1119a46517961
1296a5321009
134871ab664c
142567a90237
1514412d7269
hexb7ffd5cc9

49391951049 has 81 divisors (see below), whose sum is σ = 87747343047. Its totient is φ = 26690495328.

The previous prime is 49391951039. The next prime is 49391951101. The reversal of 49391951049 is 94015919394.

It is a happy number.

The square root of 49391951049 is 222243.

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

49391951049 is a `hidden beast` number, since 49 + 39 + 19 + 510 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4334247225 + 45057703824 = 65835^2 + 212268^2 .

It is not a de Polignac number, because 49391951049 - 215 = 49391918281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 49391950986 and 49391951004.

It is not an unprimeable number, because it can be changed into a prime (49391951029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 88674679 + ... + 88675235.

Almost surely, 249391951049 is an apocalyptic number.

49391951049 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

49391951049 is the 222243-rd square number.

49391951049 is the 111122-nd centered octagonal number.

It is an amenable number.

49391951049 is a deficient number, since it is larger than the sum of its proper divisors (38355391998).

49391951049 is an equidigital number, since it uses as much as digits as its factorization.

49391951049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 49391951049 in words is "forty-nine billion, three hundred ninety-one million, nine hundred fifty-one thousand, forty-nine".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 361 399 441 557 931 1083 1197 1671 2527 2793 3249 3899 5013 7581 8379 10583 11697 17689 22743 27293 31749 35091 53067 74081 81879 95247 159201 201077 222243 245637 310249 518567 603231 666729 930747 1407539 1555701 1809693 2171743 2792241 4222617 4667103 5894731 6515229 9852773 12667851 15202201 17684193 19545687 29558319 41263117 45606603 53052579 88674957 111999889 123789351 136819809 288841819 335999667 371368053 783999223 866525457 1007999001 2351997669 2599576371 5487994561 7055993007 16463983683 49391951049