Search a number
-
+
2661450632214 = 23111741460312569
BaseRepresentation
bin100110101110101010110…
…100011100110000010110
3100102102200001220110111120
4212232222310130300112
5322101122330212324
65354353055344410
7363166141053153
oct46565264346026
910372601813446
102661450632214
11936795552940
1236b982522106
13163c873475ca
1492b5a11922a
154936cae5179
hex26baad1cc16

2661450632214 has 128 divisors (see below), whose sum is σ = 6300207889920. Its totient is φ = 740325580800.

The previous prime is 2661450632209. The next prime is 2661450632233. The reversal of 2661450632214 is 4122360541662.

It is a happy number.

2661450632214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211740922 + ... + 211753490.

It is an arithmetic number, because the mean of its divisors is an integer number (49220374140).

Almost surely, 22661450632214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2661450632214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150103944960).

2661450632214 is an abundant number, since it is smaller than the sum of its proper divisors (3638757257706).

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

2661450632214 is a wasteful number, since it uses less digits than its factorization.

2661450632214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17246.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2661450632214 in words is "two trillion, six hundred sixty-one billion, four hundred fifty million, six hundred thirty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 102 123 187 246 374 451 561 697 902 1122 1353 1394 2091 2706 4182 4603 7667 9206 12569 13809 15334 23001 25138 27618 37707 46002 50633 75414 78251 101266 138259 151899 156502 188723 213673 234753 276518 303798 377446 414777 427346 469506 515329 566169 641019 829554 860761 1030658 1132338 1282038 1545987 1721522 2075953 2350403 2582283 3091974 3208291 4151906 4700806 5164566 5668619 6227859 6416582 7051209 8760593 9624873 11337238 12455718 14102418 17005857 17521186 19249746 26281779 34011714 35291201 52563558 57855107 70582402 96366523 105873603 115710214 173565321 192733046 211747206 289099569 347130642 578199138 636406177 983536819 1272812354 1909218531 1967073638 2372059387 2950610457 3818437062 4744118774 5901220914 7116178161 10818905009 14232356322 21637810018 26092653257 32456715027 40325009579 52185306514 64913430054 78277959771 80650019158 120975028737 156555919542 241950057474 443575105369 887150210738 1330725316107 2661450632214