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3363666666960 = 243559237547081
BaseRepresentation
bin110000111100101010001…
…010000010010111010000
3102220120012201021002102110
4300330222022002113100
5420102242131320320
611053125214145320
7465005536631325
oct60745212022720
912816181232373
103363666666960
111087583163206
12463a991b2240
131b526693b4c2
14b8b33872b4c
155c76b4d55e0
hex30f2a2825d0

3363666666960 has 80 divisors (see below), whose sum is σ = 10604101740480. Its totient is φ = 881774760960.

The previous prime is 3363666666959. The next prime is 3363666666973. The reversal of 3363666666960 is 696666663633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33636666669602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3363666666891 and 3363666666900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118759381 + ... + 118787700.

It is an arithmetic number, because the mean of its divisors is an integer number (132551271756).

Almost surely, 23363666666960 is an apocalyptic number.

3363666666960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3363666666960 is an abundant number, since it is smaller than the sum of its proper divisors (7240435073520).

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

3363666666960 is a wasteful number, since it uses less digits than its factorization.

3363666666960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237547156 (or 237547150 counting only the distinct ones).

The product of its (nonzero) digits is 408146688, while the sum is 66.

The spelling of 3363666666960 in words is "three trillion, three hundred sixty-three billion, six hundred sixty-six million, six hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 237547081 475094162 712641243 950188324 1187735405 1425282486 1900376648 2375470810 2850564972 3563206215 3800753296 4750941620 5701129944 7126412430 9501883240 11402259888 14015277779 14252824860 19003766480 28030555558 28505649720 42045833337 56061111116 57011299440 70076388895 84091666674 112122222232 140152777790 168183333348 210229166685 224244444464 280305555580 336366666696 420458333370 560611111160 672733333392 840916666740 1121222222320 1681833333480 3363666666960