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4068935610880 = 2957373608743
BaseRepresentation
bin111011001101011111011…
…101100011001000000000
3112101222122010012120102111
4323031133131203020000
51013131140004022010
612353124311225104
7566654006014360
oct73153735431000
915358563176374
104068935610880
111329698091408
12558706378194
1323691188022a
14100d1a8469a0
1570c97e1b58a
hex3b35f763200

4068935610880 has 160 divisors (see below), whose sum is σ = 11179520250624. Its totient is φ = 1391321235456.

The previous prime is 4068935610871. The next prime is 4068935610907. The reversal of 4068935610880 is 880165398604.

4068935610880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6379789 + ... + 6988531.

Almost surely, 24068935610880 is an apocalyptic number.

4068935610880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4068935610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5589760125312).

4068935610880 is an abundant number, since it is smaller than the sum of its proper divisors (7110584639744).

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

4068935610880 is an equidigital number, since it uses as much as digits as its factorization.

4068935610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609146 (or 609130 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 58.

The spelling of 4068935610880 in words is "four trillion, sixty-eight billion, nine hundred thirty-five million, six hundred ten thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 373 448 512 560 640 746 896 1120 1280 1492 1792 1865 2240 2560 2611 2984 3584 3730 4480 5222 5968 7460 8960 10444 11936 13055 14920 17920 20888 23872 26110 29840 41776 47744 52220 59680 83552 95488 104440 119360 167104 190976 208880 238720 334208 417760 477440 608743 668416 835520 954880 1217486 1336832 1671040 2434972 3043715 3342080 4261201 4869944 6087430 6684160 8522402 9739888 12174860 17044804 19479776 21306005 24349720 34089608 38959552 42612010 48699440 68179216 77919104 85224020 97398880 136358432 155838208 170448040 194797760 227061139 272716864 311676416 340896080 389595520 454122278 545433728 681792160 779191040 908244556 1090867456 1135305695 1363584320 1558382080 1589427973 1816489112 2181734912 2270611390 2727168640 3178855946 3632978224 4541222780 5454337280 6357711892 7265956448 7947139865 9082445560 10908674560 12715423784 14531912896 15894279730 18164891120 25430847568 29063825792 31788559460 36329782240 50861695136 58127651584 63577118920 72659564480 101723390272 116255303168 127154237840 145319128960 203446780544 254308475680 290638257920 406893561088 508616951360 581276515840 813787122176 1017233902720 2034467805440 4068935610880