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2120228480682 = 23313832438419
BaseRepresentation
bin11110110110100111011…
…101110010011010101010
321111200200100221111001000
4132312213131302122222
5234214211442340212
64302004114335430
7306116144504634
oct36664735623252
97450610844030
102120228480682
11748202780914
122a2ab828a576
13124c23b982c0
14748962ada54
153a2430661dc
hex1eda77726aa

2120228480682 has 96 divisors (see below), whose sum is σ = 5135932468800. Its totient is φ = 644516548128.

The previous prime is 2120228480677. The next prime is 2120228480683. The reversal of 2120228480682 is 2860848220212.

2120228480682 is a `hidden beast` number, since 212 + 0 + 2 + 284 + 80 + 6 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (2120228480683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4616869 + ... + 5055287.

It is an arithmetic number, because the mean of its divisors is an integer number (53499296550).

Almost surely, 22120228480682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120228480682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567966234400).

2120228480682 is an abundant number, since it is smaller than the sum of its proper divisors (3015703988118).

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

2120228480682 is a wasteful number, since it uses less digits than its factorization.

2120228480682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438609 (or 438520 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2120228480682 in words is "two trillion, one hundred twenty billion, two hundred twenty-eight million, four hundred eighty thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 83 117 166 234 249 351 498 702 747 1079 1494 2158 2241 3237 4482 6474 6889 9711 13778 19422 20667 29133 41334 58266 62001 89557 124002 179114 186003 268671 372006 438419 537342 806013 876838 1315257 1612026 2418039 2630514 3945771 4836078 5699447 7891542 11398894 11837313 17098341 23674626 34196682 36388777 51295023 72777554 102590046 109166331 153885069 218332662 307770138 327498993 473054101 654997986 946108202 982496979 1419162303 1964993958 2838324606 3020268491 4257486909 6040536982 8514973818 9060805473 12772460727 18121610946 25544921454 27182416419 39263490383 54364832838 78526980766 81547249257 117790471149 163094498514 235580942298 353371413447 706742826894 1060114240341 2120228480682