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61010362512 = 2434112389057
BaseRepresentation
bin111000110100100000…
…000100000010010000
312211110220202112120000
4320310200010002100
51444422123100022
644005555450000
74256615345001
oct706440040220
9184426675500
1061010362512
1123968839400
12b9a82b6900
1359a3b84c28
142d4ab3b1a8
1518c12ce6ac
hexe34804090

61010362512 has 150 divisors (see below), whose sum is σ = 194094422214. Its totient is φ = 18487941120.

The previous prime is 61010362507. The next prime is 61010362531. The reversal of 61010362512 is 21526301016.

61010362512 is a `hidden beast` number, since 6 + 10 + 10 + 3 + 625 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45052609536 + 15957752976 = 212256^2 + 126324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37713 + ... + 351344.

Almost surely, 261010362512 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 61010362512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97047211107).

61010362512 is an abundant number, since it is smaller than the sum of its proper divisors (133084059702).

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

61010362512 is a wasteful number, since it uses less digits than its factorization.

61010362512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389099 (or 389073 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 61010362512 its reverse (21526301016), we get a palindrome (82536663528).

The spelling of 61010362512 in words is "sixty-one billion, ten million, three hundred sixty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 13068 14256 17424 19602 26136 39204 52272 78408 156816 389057 778114 1167171 1556228 2334342 3112456 3501513 4279627 4668684 6224912 7003026 8559254 9337368 10504539 12838881 14006052 17118508 18674736 21009078 25677762 28012104 31513617 34237016 38516643 42018156 47075897 51355524 56024208 63027234 68474032 77033286 84036312 94151794 102711048 115549929 126054468 141227691 154066572 168072624 188303588 205422096 231099858 252108936 282455382 308133144 346649787 376607176 423683073 462199716 504217872 564910764 616266288 693299574 753214352 847366146 924399432 1129821528 1271049219 1386599148 1694732292 1848798864 2259643056 2542098438 2773198296 3389464584 3813147657 5084196876 5546396592 6778929168 7626295314 10168393752 15252590628 20336787504 30505181256 61010362512