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13465545013160 = 2356124190725247
BaseRepresentation
bin1100001111110011000100…
…0001101111011110101000
31202200021220222120120002022
43003330301001233132220
53231104414010410120
644345552545524012
72556565521046262
oct303746101573650
952607828516068
1013465545013160
114321784128659
121615867943608
13768a45797bc6
14347a43290b32
1518540a4e5025
hexc3f3106f7a8

13465545013160 has 128 divisors (see below), whose sum is σ = 30957251466240. Its totient is φ = 5269910630400.

The previous prime is 13465545013133. The next prime is 13465545013177. The reversal of 13465545013160 is 6131054556431.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 533339657 + ... + 533364903.

It is an arithmetic number, because the mean of its divisors is an integer number (241853527080).

Almost surely, 213465545013160 is an apocalyptic number.

13465545013160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13465545013160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15478625733120).

13465545013160 is an abundant number, since it is smaller than the sum of its proper divisors (17491706453080).

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

13465545013160 is a wasteful number, since it uses less digits than its factorization.

13465545013160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26467 (or 26463 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

Adding to 13465545013160 its reverse (6131054556431), we get a palindrome (19596599569591).

The spelling of 13465545013160 in words is "thirteen trillion, four hundred sixty-five billion, five hundred forty-five million, thirteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 61 122 241 244 305 482 488 610 907 964 1205 1220 1814 1928 2410 2440 3628 4535 4820 7256 9070 9640 14701 18140 25247 29402 36280 50494 55327 58804 73505 100988 110654 117608 126235 147010 201976 218587 221308 252470 276635 294020 437174 442616 504940 553270 588040 874348 1009880 1092935 1106540 1540067 1748696 2185870 2213080 3080134 4371740 6084527 6160268 7700335 8743480 12169054 12320536 13333807 15400670 22899029 24338108 26667614 30422635 30801340 45798058 48676216 53335228 60845270 61602680 66669035 91596116 106670456 114495145 121690540 133338070 183192232 228990290 243381080 266676140 371156147 457980580 533352280 742312294 915961160 1396840769 1484624588 1855780735 2793681538 2969249176 3711561470 5518665989 5587363076 6984203845 7423122940 11037331978 11174726152 13968407690 14846245880 22074663956 27593329945 27936815380 44149327912 55186659890 55873630760 110373319780 220746639560 336638625329 673277250658 1346554501316 1683193126645 2693109002632 3366386253290 6732772506580 13465545013160