Search a number
-
+
10686830330295 = 3257229929159473
BaseRepresentation
bin1001101110000011100010…
…1110011100000110110111
31101211122120120200010000200
42123200320232130012313
52400043112031032140
634421243450411543
72152045422001320
oct233407056340667
941748516603020
1010686830330295
113450294130969
121247219a30bb3
135c69c10288a2
1428d36133d447
15137ec7c31030
hex9b838b9c1b7

10686830330295 has 96 divisors (see below), whose sum is σ = 21285568886400. Its totient is φ = 4858808205312.

The previous prime is 10686830330291. The next prime is 10686830330311. The reversal of 10686830330295 is 59203303868601.

It is a happy number.

10686830330295 is a `hidden beast` number, since 10 + 6 + 8 + 6 + 8 + 3 + 0 + 330 + 295 = 666.

It is not a de Polignac number, because 10686830330295 - 22 = 10686830330291 is a prime.

It is a super-2 number, since 2×106868303302952 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686830330291) 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 95 ways as a sum of consecutive naturals, for example, 66933679 + ... + 67093151.

It is an arithmetic number, because the mean of its divisors is an integer number (221724675900).

Almost surely, 210686830330295 is an apocalyptic number.

10686830330295 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10686830330295 is a deficient number, since it is larger than the sum of its proper divisors (10598738556105).

10686830330295 is a wasteful number, since it uses less digits than its factorization.

10686830330295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160649 (or 160646 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 10686830330295 in words is "ten trillion, six hundred eighty-six billion, eight hundred thirty million, three hundred thirty thousand, two hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 229 315 687 929 1145 1603 2061 2787 3435 4645 4809 6503 8015 8361 10305 13935 14427 19509 24045 32515 41805 58527 72135 97545 159473 212741 292635 478419 638223 797365 1063705 1116311 1435257 1489187 1914669 2392095 3191115 3348933 4467561 5581555 7176285 7445935 9573345 10046799 13402683 16744665 22337805 36519317 50233995 67013415 109557951 148150417 182596585 255635219 328673853 444451251 547789755 740752085 766905657 1037052919 1278176095 1333353753 1643369265 2222256255 2300716971 3111158757 3834528285 5185264595 6666768765 9333476271 11503584855 15555793785 33926445493 46667381355 101779336479 169632227465 237485118451 305338009437 508896682395 712455355353 1187425592255 1526690047185 2137366066059 3562276776765 10686830330295