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61106807296 = 29736312591
BaseRepresentation
bin111000111010001111…
…111110001000000000
312211201122020102221001
4320322033332020000
52000121320313141
644023322541344
74262166202063
oct707217761000
9184648212831
1061106807296
1123a08221837
12ba14667854
1359bab52452
142d598848da
1518c99d0a31
hexe3a3fe200

61106807296 has 80 divisors (see below), whose sum is σ = 124010777088. Its totient is φ = 30075494400.

The previous prime is 61106807291. The next prime is 61106807303. The reversal of 61106807296 is 69270860116.

It is not an unprimeable number, because it can be changed into a prime (61106807291) 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 7 ways as a sum of consecutive naturals, for example, 23582961 + ... + 23585551.

Almost surely, 261106807296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61106807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62005388544).

61106807296 is an abundant number, since it is smaller than the sum of its proper divisors (62903969792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61106807296 is an equidigital number, since it uses as much as digits as its factorization.

61106807296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 61106807296 in words is "sixty-one billion, one hundred six million, eight hundred seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 631 1168 1262 2336 2524 2591 4672 5048 5182 9344 10096 10364 18688 20192 20728 37376 40384 41456 46063 80768 82912 92126 161536 165824 184252 189143 323072 331648 368504 378286 663296 737008 756572 1326592 1474016 1513144 1634921 2948032 3026288 3269842 5896064 6052576 6539684 11792128 12105152 13079368 23584256 24210304 26158736 48420608 52317472 96841216 104634944 119349233 209269888 238698466 418539776 477396932 837079552 954793864 1909587728 3819175456 7638350912 15276701824 30553403648 61106807296