Search a number
-
+
13394065634568 = 2333192171771643
BaseRepresentation
bin1100001011101000110010…
…0001100011010100001000
31202102110102110111220022000
43002322030201203110020
53223422021300301233
644253052050431000
72551455301256433
oct302721441432410
952373373456260
1013394065634568
1142a4433960553
121603a39592460
137620939cb508
143443c1dc281a
151836250aed13
hexc2e8c863508

13394065634568 has 96 divisors (see below), whose sum is σ = 39266997818400. Its totient is φ = 4229704912608.

The previous prime is 13394065634561. The next prime is 13394065634603. The reversal of 13394065634568 is 86543656049331.

13394065634568 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 4 + 0 + 6 + 5 + 63 + 4 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (13394065634561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85807846 + ... + 85963797.

It is an arithmetic number, because the mean of its divisors is an integer number (409031227275).

Almost surely, 213394065634568 is an apocalyptic number.

13394065634568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13394065634568 is an abundant number, since it is smaller than the sum of its proper divisors (25872932183832).

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

13394065634568 is a wasteful number, since it uses less digits than its factorization.

13394065634568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171771696 (or 171771667 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 13394065634568 in words is "thirteen trillion, three hundred ninety-four billion, sixty-five million, six hundred thirty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 361 456 513 684 722 1026 1083 1368 1444 2052 2166 2888 3249 4104 4332 6498 8664 9747 12996 19494 25992 38988 77976 171771643 343543286 515314929 687086572 1030629858 1374173144 1545944787 2061259716 3091889574 3263661217 4122519432 4637834361 6183779148 6527322434 9275668722 9790983651 12367558296 13054644868 18551337444 19581967302 26109289736 29372950953 37102674888 39163934604 58745901906 62009563123 78327869208 88118852859 117491803812 124019126246 176237705718 186028689369 234983607624 248038252492 352475411436 372057378738 496076504984 558086068107 704950822872 744114757476 1116172136214 1488229514952 1674258204321 2232344272428 3348516408642 4464688544856 6697032817284 13394065634568