Search a number
-
+
106621236361206 = 23273975094187597
BaseRepresentation
bin11000001111100010110000…
…111010110011011111110110
3111222111220001021200001122200
4120033202300322303133312
5102433340243002024311
61014433041513005330
731313062426455120
oct3017426072633766
9458456037601580
10106621236361206
1130a778a3352666
12bb5bab03b3846
1347654549c3838
141c486d1444210
15c4d6e2b60556
hex60f8b0eb37f6

106621236361206 has 96 divisors (see below), whose sum is σ = 265199576316480. Its totient is φ = 30326771236608.

The previous prime is 106621236361151. The next prime is 106621236361259. The reversal of 106621236361206 is 602163632126601.

106621236361206 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 1 + 2 + 3 + 636 + 1 + 2 + 0 + 6 = 666.

106621236361206 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066212363612062 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23367400 + ... + 27554996.

It is an arithmetic number, because the mean of its divisors is an integer number (2762495586630).

Almost surely, 2106621236361206 is an apocalyptic number.

106621236361206 is an abundant number, since it is smaller than the sum of its proper divisors (158578339955274).

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

106621236361206 is a wasteful number, since it uses less digits than its factorization.

106621236361206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188518 (or 4188515 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

Adding to 106621236361206 its reverse (602163632126601), we get a palindrome (708784868487807).

The spelling of 106621236361206 in words is "one hundred six trillion, six hundred twenty-one billion, two hundred thirty-six million, three hundred sixty-one thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 397 509 794 1018 1191 1527 2382 2779 3054 3563 3573 4581 5558 7126 7146 8337 9162 10689 16674 21378 25011 32067 50022 64134 202073 404146 606219 1212438 1414511 1818657 2829022 3637314 4187597 4243533 8375194 8487066 12562791 12730599 25125582 25461198 29313179 37688373 58626358 75376746 87939537 175879074 263818611 527637222 1662476009 2131486873 3324952018 4262973746 4987428027 6394460619 9974856054 11637332063 12788921238 14920408111 14962284081 19183381857 23274664126 29840816222 29924568162 34911996189 38366763714 44761224333 69823992378 89522448666 104735988567 134283672999 209471977134 268567345998 846200288581 1692400577162 2538600865743 5077201731486 5923402020067 7615802597229 11846804040134 15231605194458 17770206060201 35540412120402 53310618180603 106621236361206