Search a number
-
+
3056682212820 = 2232583206998887
BaseRepresentation
bin101100011110110000011…
…101010001110111010100
3101211012211102212000210200
4230132300131101313110
5400040041121302240
610300115340020500
7433560302054625
oct54366035216724
911735742760720
103056682212820
11a79371470165
124144a4831730
13192322aba8c2
14a7d30c9da4c
15547a0a7d930
hex2c7b0751dd4

3056682212820 has 144 divisors (see below), whose sum is σ = 9388276410240. Its totient is φ = 804897232128.

The previous prime is 3056682212777. The next prime is 3056682212821. The reversal of 3056682212820 is 282122866503.

3056682212820 is a `hidden beast` number, since 3 + 0 + 566 + 8 + 2 + 2 + 1 + 2 + 82 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3056682212821) 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, 30861417 + ... + 30960303.

It is an arithmetic number, because the mean of its divisors is an integer number (65196363960).

Almost surely, 23056682212820 is an apocalyptic number.

3056682212820 is a gapful number since it is divisible by the number (30) 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 3056682212820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694138205120).

3056682212820 is an abundant number, since it is smaller than the sum of its proper divisors (6331594197420).

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

3056682212820 is a wasteful number, since it uses less digits than its factorization.

3056682212820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101054 (or 101049 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3056682212820 in words is "three trillion, fifty-six billion, six hundred eighty-two million, two hundred twelve thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2069 2490 2988 3735 4138 4980 6207 7470 8276 10345 12414 14940 18621 20690 24828 31035 37242 41380 62070 74484 93105 98887 124140 171727 186210 197774 296661 343454 372420 395548 494435 515181 593322 686908 858635 889983 988870 1030362 1186644 1483305 1545543 1717270 1779966 1977740 2060724 2575905 2966610 3091086 3434540 3559932 4449915 5151810 5933220 6182172 7727715 8207621 8899830 10303620 15455430 16415242 17799660 24622863 30910860 32830484 41038105 49245726 73868589 82076210 98491452 123114315 147737178 164152420 204597203 246228630 295474356 369342945 409194406 492457260 613791609 738685890 818388812 1022986015 1227583218 1477371780 1841374827 2045972030 2455166436 3068958045 3682749654 4091944060 6137916090 7365499308 9206874135 12275832180 16981567849 18413748270 33963135698 36827496540 50944703547 67926271396 84907839245 101889407094 152834110641 169815678490 203778814188 254723517735 305668221282 339631356980 509447035470 611336442564 764170553205 1018894070940 1528341106410 3056682212820