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52727657664 = 2631144955603
BaseRepresentation
bin110001000110110100…
…000011010011000000
312001002200101112111210
4301012310003103000
51330441240021124
640120040410120
73544432460313
oct610664032300
9161080345453
1052727657664
11203a842a690
12a276476940
134c83bbb246
1427a2ac297a
15158908ea29
hexc46d034c0

52727657664 has 112 divisors (see below), whose sum is σ = 152532892800. Its totient is φ = 15942205440.

The previous prime is 52727657617. The next prime is 52727657681. The reversal of 52727657664 is 46675672725.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920487 + ... + 976089.

Almost surely, 252727657664 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 52727657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76266446400).

52727657664 is an abundant number, since it is smaller than the sum of its proper divisors (99805235136).

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

52727657664 is a wasteful number, since it uses less digits than its factorization.

52727657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56078 (or 56068 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 57.

The spelling of 52727657664 in words is "fifty-two billion, seven hundred twenty-seven million, six hundred fifty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 449 528 704 898 1056 1347 1796 2112 2694 3592 4939 5388 7184 9878 10776 14368 14817 19756 21552 28736 29634 39512 43104 55603 59268 79024 86208 111206 118536 158048 166809 222412 237072 316096 333618 444824 474144 611633 667236 889648 948288 1223266 1334472 1779296 1834899 2446532 2668944 3558592 3669798 4893064 5337888 7339596 9786128 10675776 14679192 19572256 24965747 29358384 39144512 49931494 58716768 74897241 99862988 117433536 149794482 199725976 274623217 299588964 399451952 549246434 599177928 798903904 823869651 1098492868 1198355856 1597807808 1647739302 2196985736 2396711712 3295478604 4393971472 4793423424 6590957208 8787942944 13181914416 17575885888 26363828832 52727657664