Search a number
-
+
10642650135216 = 243111710111739391
BaseRepresentation
bin1001101011011110111101…
…1000010111101010110000
31101200102112120211122220020
42122313233120113222300
52343332121413311331
634345055503443440
72145622535354001
oct232675730275260
941612476748806
1010642650135216
113433582603450
12123a749bb6580
135c279cc13018
1428b16d9131a8
15136c8e27cc96
hex9adef617ab0

10642650135216 has 160 divisors (see below), whose sum is σ = 32071643283456. Its totient is φ = 3005283840000.

The previous prime is 10642650135211. The next prime is 10642650135241. The reversal of 10642650135216 is 61253105624601.

It is a super-2 number, since 2×106426501352162 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10642650135211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4963120 + ... + 6776271.

Almost surely, 210642650135216 is an apocalyptic number.

10642650135216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10642650135216 is an abundant number, since it is smaller than the sum of its proper divisors (21428993148240).

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

10642650135216 is a wasteful number, since it uses less digits than its factorization.

10642650135216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739531 (or 11739525 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 10642650135216 its reverse (61253105624601), we get a palindrome (71895755759817).

The spelling of 10642650135216 in words is "ten trillion, six hundred forty-two billion, six hundred fifty million, one hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 101 102 132 136 176 187 202 204 264 272 303 374 404 408 528 561 606 748 808 816 1111 1122 1212 1496 1616 1717 2222 2244 2424 2992 3333 3434 4444 4488 4848 5151 6666 6868 8888 8976 10302 13332 13736 17776 18887 20604 26664 27472 37774 41208 53328 56661 75548 82416 113322 151096 226644 302192 453288 906576 11739391 23478782 35218173 46957564 70436346 93915128 129133301 140872692 187830256 199569647 258266602 281745384 387399903 399139294 516533204 563490768 598708941 774799806 798278588 1033066408 1185678491 1197417882 1549599612 1596557176 2066132816 2195266117 2371356982 2394835764 3099199224 3193114352 3557035473 4390532234 4742713964 4789671528 6198398448 6585798351 7114070946 8781064468 9485427928 9579343056 13042463401 13171596702 14228141892 17562128936 18970855856 20156534347 26084926802 26343193404 28456283784 35124257872 39127390203 40313068694 52169853604 52686386808 56912567568 60469603041 78254780406 80626137388 104339707208 105372773616 120939206082 156509560812 161252274776 208679414416 221721877817 241878412164 313019121624 322504549552 443443755634 483756824328 626038243248 665165633451 886887511268 967513648656 1330331266902 1773775022536 2660662533804 3547550045072 5321325067608 10642650135216