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13055045540 = 22519611095167
BaseRepresentation
bin11000010100010010…
…00010111110100100
31020200211101000202012
430022021002332210
5203214042424130
65555234533352
7641342025155
oct141211027644
936624330665
1013055045540
11559a261a39
122644137258
131300905824
148bbbb792c
155161c6995
hex30a242fa4

13055045540 has 96 divisors (see below), whose sum is σ = 29606438400. Its totient is φ = 4820497920.

The previous prime is 13055045537. The next prime is 13055045567. The reversal of 13055045540 is 4554055031.

It is a junction number, because it is equal to n+sod(n) for n = 13055045497 and 13055045506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2524037 + ... + 2529203.

It is an arithmetic number, because the mean of its divisors is an integer number (308400400).

Almost surely, 213055045540 is an apocalyptic number.

13055045540 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 13055045540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803219200).

13055045540 is an abundant number, since it is smaller than the sum of its proper divisors (16551392860).

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

13055045540 is a wasteful number, since it uses less digits than its factorization.

13055045540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5365 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 13055045540 in words is "thirteen billion, fifty-five million, forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 109 122 190 218 244 305 380 436 545 610 1090 1159 1220 2071 2180 2318 4142 4636 5167 5795 6649 8284 10334 10355 11590 13298 20668 20710 23180 25835 26596 33245 41420 51670 66490 98173 103340 126331 132980 196346 252662 315187 392692 490865 505324 563203 630374 631655 981730 1126406 1260748 1263310 1575935 1963460 2252812 2526620 2816015 3151870 5632030 5988553 6303740 10700857 11264060 11977106 21401714 23954212 29942765 34355383 42803428 53504285 59885530 68710766 107008570 119771060 137421532 171776915 214017140 343553830 652752277 687107660 1305504554 2611009108 3263761385 6527522770 13055045540