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2068105608 = 23347179569
BaseRepresentation
bin111101101000100…
…1100100110001000
312100010111122120000
41323101030212020
513213413334413
6541114403000
7102151415262
oct17321144610
95303448500
102068105608
11971434398
12498730460
1326c60183a
14158946b32
15c1867073
hex7b44c988

2068105608 has 160 divisors (see below), whose sum is σ = 5959008000. Its totient is φ = 669876480.

The previous prime is 2068105577. The next prime is 2068105619. The reversal of 2068105608 is 8065018602.

It is a happy number.

2068105608 is a `hidden beast` number, since 20 + 68 + 10 + 560 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3634348 + ... + 3634916.

It is an arithmetic number, because the mean of its divisors is an integer number (37243800).

Almost surely, 22068105608 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 2068105608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979504000).

2068105608 is an abundant number, since it is smaller than the sum of its proper divisors (3890902392).

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

2068105608 is a wasteful number, since it uses less digits than its factorization.

2068105608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2068105608 is about 45476.4291474166. The cubic root of 2068105608 is about 1274.0630015332.

The spelling of 2068105608 in words is "two billion, sixty-eight million, one hundred five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 79 81 108 142 158 162 213 216 237 284 316 324 426 474 568 569 632 639 648 711 852 948 1138 1278 1422 1704 1707 1896 1917 2133 2276 2556 2844 3414 3834 4266 4552 5112 5121 5609 5688 5751 6399 6828 7668 8532 10242 11218 11502 12798 13656 15336 15363 16827 17064 20484 22436 23004 25596 30726 33654 40399 40968 44872 44951 46008 46089 50481 51192 61452 67308 80798 89902 92178 100962 121197 122904 134616 134853 151443 161596 179804 184356 201924 242394 269706 302886 323192 359608 363591 368712 403848 404559 454329 484788 539412 605772 727182 809118 908658 969576 1078824 1090773 1211544 1213677 1454364 1618236 1817316 2181546 2427354 2908728 3191521 3236472 3272319 3634632 3641031 4363092 4854708 6383042 6544638 7282062 8726184 9574563 9709416 12766084 13089276 14564124 19149126 25532168 26178552 28723689 29128248 38298252 57447378 76596504 86171067 114894756 172342134 229789512 258513201 344684268 517026402 689368536 1034052804 2068105608