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61116061116 = 223111014639901
BaseRepresentation
bin111000111010110011…
…010001010110111100
312211202021122120210010
4320322303101112330
52000131202423431
644024253143220
74262340643125
oct707263212674
9184667576703
1061116061116
1123a12472320
12ba1778ab10
1359bca42496
142d5abb304c
1518ca70c846
hexe3acd15bc

61116061116 has 96 divisors (see below), whose sum is σ = 157463663616. Its totient is φ = 18295200000.

The previous prime is 61116061109. The next prime is 61116061147.

61116061116 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6167766 + ... + 6177666.

It is an arithmetic number, because the mean of its divisors is an integer number (1640246496).

Almost surely, 261116061116 is an apocalyptic number.

61116061116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61116061116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78731831808).

61116061116 is an abundant number, since it is smaller than the sum of its proper divisors (96347602500).

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

61116061116 is a wasteful number, since it uses less digits than its factorization.

61116061116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10483 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

It can be divided in two parts, 611160 and 61116, that added together give a palindrome (672276).

The spelling of 61116061116 in words is "sixty-one billion, one hundred sixteen million, sixty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 463 606 926 1111 1212 1389 1852 2222 2778 3333 4444 5093 5556 6666 9901 10186 13332 15279 19802 20372 29703 30558 39604 46763 59406 61116 93526 108911 118812 140289 187052 217822 280578 326733 435644 514393 561156 653466 1000001 1028786 1306932 1543179 2000002 2057572 3000003 3086358 4000004 4584163 6000006 6172716 9168326 11000011 12000012 13752489 18336652 22000022 27504978 33000033 44000044 50425793 55009956 66000066 100851586 132000132 151277379 201703172 302554758 463000463 605109516 926000926 1389001389 1852001852 2778002778 5093005093 5556005556 10186010186 15279015279 20372020372 30558030558 61116061116