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61105597216 = 2519891935851
BaseRepresentation
bin111000111010001011…
…010110101100100000
312211201112221222000021
4320322023112230200
52000121013102331
644023241003224
74262153002126
oct707213265440
9184645858007
1061105597216
1123a07575674
12ba14183514
1359ba81a721
142d5964b916
1518c9842211
hexe3a2d6b20

61105597216 has 96 divisors (see below), whose sum is σ = 128741659200. Its totient is φ = 28466380800.

The previous prime is 61105597187. The next prime is 61105597253. The reversal of 61105597216 is 61279550116.

It is a super-2 number, since 2×611055972162 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10440691 + ... + 10446541.

It is an arithmetic number, because the mean of its divisors is an integer number (1341058950).

Almost surely, 261105597216 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 61105597216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64370829600).

61105597216 is an abundant number, since it is smaller than the sum of its proper divisors (67636061984).

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

61105597216 is a wasteful number, since it uses less digits than its factorization.

61105597216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6154 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 43.

The spelling of 61105597216 in words is "sixty-one billion, one hundred five million, five hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 76 89 152 178 193 304 356 386 608 712 772 1424 1544 1691 2848 3088 3382 3667 5851 6176 6764 7334 11702 13528 14668 17177 23404 27056 29336 34354 46808 54112 58672 68708 93616 111169 117344 137416 187232 222338 274832 326363 444676 520739 549664 652726 889352 1041478 1129243 1305452 1778704 2082956 2258486 2610904 3557408 4165912 4516972 5221808 8331824 9033944 9894041 10443616 16663648 18067888 19788082 21455617 36135776 39576164 42911234 79152328 85822468 100502627 158304656 171644936 201005254 316609312 343289872 402010508 686579744 804021016 1608042032 1909549913 3216084064 3819099826 7638199652 15276399304 30552798608 61105597216