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64160065561086 = 232113171821756113
BaseRepresentation
bin11101001011010011011011…
…11010101010000111111110
322102011122100021200012210200
432211221231322222013332
531402144303240423321
6344242421024544330
716341261143653125
oct1645515572520776
9272148307605720
1064160065561086
11194971493a5950
1272427981820a6
1329a5364389a81
1411bb514174abc
15763e3d14ad26
hex3a5a6deaa1fe

64160065561086 has 96 divisors (see below), whose sum is σ = 152140520814048. Its totient is φ = 19379702200320.

The previous prime is 64160065561019. The next prime is 64160065561103. The reversal of 64160065561086 is 68016556006146.

64160065561086 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 0 + 0 + 6 + 556 + 1 + 0 + 86 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1143380166 + ... + 1143436278.

It is an arithmetic number, because the mean of its divisors is an integer number (1584797091813).

Almost surely, 264160065561086 is an apocalyptic number.

64160065561086 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64160065561086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76070260407024).

64160065561086 is an abundant number, since it is smaller than the sum of its proper divisors (87980455252962).

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

64160065561086 is a wasteful number, since it uses less digits than its factorization.

64160065561086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74666 (or 74663 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 64160065561086 in words is "sixty-four trillion, one hundred sixty billion, sixty-five million, five hundred sixty-one thousand, eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1902 2853 3487 5706 6974 10461 18217 20922 31383 36434 54651 56113 62766 109302 112226 163953 168339 200387 327906 336678 400774 505017 601161 617243 1010034 1202322 1234486 1803483 1851729 3606966 3703458 5555187 5774789 11110374 11549578 17324367 17787821 34648734 35575642 51973101 53363463 63522679 103946202 106726926 127045358 160090389 190568037 195666031 320180778 381136074 391332062 571704111 586998093 1022210521 1143408222 1173996186 1760994279 2044421042 3066631563 3521988558 6133263126 9199894689 11244315731 18399789378 22488631462 33732947193 67465894386 101198841579 202397683158 324040735157 648081470314 972122205471 1944244410942 2916366616413 3564448086727 5832733232826 7128896173454 10693344260181 21386688520362 32080032780543 64160065561086