Search a number
-
+
64640244204646 = 2111923523109711719
BaseRepresentation
bin11101011001010001110101…
…10010110100010001100110
322110212112202202111200200121
432230220322302310101212
531433031210004022041
6345251152423432154
716421050340044345
oct1654507262642146
9273775682450617
1064640244204646
111966185675a930
1272bb866bb565a
132a0b719b4a566
1411d6866ad5b5c
15771693a4e7d1
hex3aca3acb4466

64640244204646 has 128 divisors (see below), whose sum is σ = 116521207603200. Its totient is φ = 26547873327360.

The previous prime is 64640244204643. The next prime is 64640244204673.

64640244204646 is nontrivially palindromic in base 10.

64640244204646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×646402442046462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64640244204593 and 64640244204602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64640244204643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5515843975 + ... + 5515855693.

It is an arithmetic number, because the mean of its divisors is an integer number (910321934400).

Almost surely, 264640244204646 is an apocalyptic number.

64640244204646 is a deficient number, since it is larger than the sum of its proper divisors (51880963398554).

64640244204646 is a wasteful number, since it uses less digits than its factorization.

64640244204646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13394.

The product of its (nonzero) digits is 21233664, while the sum is 52.

The spelling of 64640244204646 in words is "sixty-four trillion, six hundred forty billion, two hundred forty-four million, two hundred four thousand, six hundred forty-six".

Divisors: 1 2 11 19 22 23 38 46 209 253 418 437 506 523 874 1046 1097 2194 4807 5753 9614 9937 11506 11719 12029 12067 19874 20843 23438 24058 24134 25231 41686 50462 109307 128909 132319 218614 222661 228551 229273 257818 264638 269537 277541 445322 457102 458546 479389 539074 555082 573731 958778 1147462 2449271 2514061 2964907 4898542 5028122 5121203 5273279 5929814 6129037 6311041 10242406 10546558 10900889 12258074 12622082 12855743 13195813 21801778 25711486 26391626 56333233 67419407 112666466 116451703 119909779 134838814 140967851 141413173 145153943 232903406 239819558 244259117 250720447 281935702 282826346 290307886 295682089 488518234 501440894 591364178 1280968733 1550646361 2561937466 2678389169 2686850287 2757924917 3101292722 3252502979 5356778338 5373700574 5515849834 5617959691 6505005958 6723553589 11235919382 13447107178 29462280859 58924561718 61797556601 73959089479 123595113202 127747518191 147918178958 154641732547 255495036382 309283465094 1405222700101 1701059058017 2810445400202 2938192918393 3402118116034 5876385836786 32320122102323 64640244204646