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1068382391130 = 233523347495799
BaseRepresentation
bin11111000110000001000…
…11011000101101011010
310210010200101221211011000
433203000203120231122
5120001021343004010
62134450314245430
7140121340325565
oct17430043305532
93703611854130
101068382391130
1138210a00952a
12153087126876
1379995553482
14399d22a34dc
151cbced4a7c0
hexf8c08d8b5a

1068382391130 has 128 divisors (see below), whose sum is σ = 2981463552000. Its totient is φ = 271729035072.

The previous prime is 1068382391113. The next prime is 1068382391143. The reversal of 1068382391130 is 311932838601.

1068382391130 is a `hidden beast` number, since 106 + 8 + 382 + 39 + 1 + 130 = 666.

It is a super-2 number, since 2×10683823911302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1906971 + ... + 2402769.

It is an arithmetic number, because the mean of its divisors is an integer number (23292684000).

Almost surely, 21068382391130 is an apocalyptic number.

1068382391130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068382391130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490731776000).

1068382391130 is an abundant number, since it is smaller than the sum of its proper divisors (1913081160870).

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

1068382391130 is a wasteful number, since it uses less digits than its factorization.

1068382391130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496185 (or 496179 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1068382391130 in words is "one trillion, sixty-eight billion, three hundred eighty-two million, three hundred ninety-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 347 414 621 690 694 1035 1041 1242 1735 2070 2082 3105 3123 3470 5205 6210 6246 7981 9369 10410 15615 15962 18738 23943 31230 39905 46845 47886 71829 79810 93690 119715 143658 215487 239430 359145 430974 495799 718290 991598 1077435 1487397 2154870 2478995 2974794 4462191 4957990 7436985 8924382 11403377 13386573 14873970 22310955 22806754 26773146 34210131 44621910 57016885 66932865 68420262 102630393 114033770 133865730 171050655 172042253 205260786 307891179 342101310 344084506 513151965 516126759 615782358 860211265 1026303930 1032253518 1539455895 1548380277 1720422530 2580633795 3078911790 3096760554 3956971819 4645140831 5161267590 7741901385 7913943638 9290281662 11870915457 15483802770 19784859095 23225704155 23741830914 35612746371 39569718190 46451408310 59354577285 71225492742 106838239113 118709154570 178063731855 213676478226 356127463710 534191195565 1068382391130