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61103390481 = 32727921492
BaseRepresentation
bin111000111010000010…
…111011111100010001
312211201101210211221100
4320322002323330101
52000114431443411
644023121415013
74262125151400
oct707202737421
9184641724840
1061103390481
1123a062a8721
12ba1349a469
1359ba227173
142d59235637
1518c9558456
hexe3a0bbf11

61103390481 has 81 divisors (see below), whose sum is σ = 104688977211. Its totient is φ = 34242874848.

The previous prime is 61103390459. The next prime is 61103390561. The reversal of 61103390481 is 18409330116.

The square root of 61103390481 is 247191.

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

61103390481 is a `hidden beast` number, since 61 + 1 + 0 + 33 + 90 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7158682881 + 53944707600 = 84609^2 + 232260^2 .

It is not a de Polignac number, because 61103390481 - 211 = 61103388433 is a prime.

It is a super-2 number, since 2×611033904812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61103390681) 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 80 ways as a sum of consecutive naturals, for example, 410089795 + ... + 410089943.

Almost surely, 261103390481 is an apocalyptic number.

61103390481 is the 247191-st square number.

61103390481 is the 123596-th centered octagonal number.

It is an amenable number.

61103390481 is a deficient number, since it is larger than the sum of its proper divisors (43585586730).

61103390481 is an equidigital number, since it uses as much as digits as its factorization.

61103390481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 61103390481 by its sum of digits (36), we get a square (2199722057316 = 14831462).

It can be divided in two parts, 61103 and 390481, that added together give a square (451584 = 6722).

The spelling of 61103390481 in words is "sixty-one billion, one hundred three million, three hundred ninety thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 79 147 149 237 441 447 553 711 1043 1341 1659 3129 3871 4977 6241 7301 9387 11613 11771 18723 21903 22201 34839 35313 43687 56169 65709 66603 82397 105939 131061 155407 199809 247191 305809 393183 466221 576779 741573 917427 929909 1087849 1398663 1730337 1753879 2752281 2789727 3263547 5191011 5261637 6509363 8369181 9790641 12277153 15784911 19528089 36831459 45565541 58584267 85940071 110494377 136696623 138556441 257820213 410089869 415669323 773460639 969895087 1247007969 2909685261 6789265609 8729055783 20367796827 61103390481