Search a number
-
+
560013060012 = 2237107121751197
BaseRepresentation
bin10000010011000110110…
…00010010011110101100
31222112111021101000221220
420021203120102132230
533133401320410022
61105133315223340
755313434320030
oct10114330223654
91875437330856
10560013060012
111a655585575a
129064b2a7b50
1340a694cb583
141d1677161c0
15e8795b585c
hex82636127ac

560013060012 has 96 divisors (see below), whose sum is σ = 1508592895488. Its totient is φ = 158375030784.

The previous prime is 560013060011. The next prime is 560013060023. The reversal of 560013060012 is 210060310065.

It is a super-2 number, since 2×5600130600122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (560013060011) 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 31 ways as a sum of consecutive naturals, for example, 10912798 + ... + 10963994.

It is an arithmetic number, because the mean of its divisors is an integer number (15714509328).

Almost surely, 2560013060012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560013060012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754296447744).

560013060012 is an abundant number, since it is smaller than the sum of its proper divisors (948579835476).

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

560013060012 is a wasteful number, since it uses less digits than its factorization.

560013060012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52535 (or 52533 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 560013060012 its reverse (210060310065), we get a palindrome (770073370077).

The spelling of 560013060012 in words is "five hundred sixty billion, thirteen million, sixty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1217 1284 1498 2247 2434 2996 3651 4494 4868 7302 8519 8988 14604 17038 25557 34076 51114 51197 102228 102394 130219 153591 204788 260438 307182 358379 390657 520876 614364 716758 781314 911533 1075137 1433516 1562628 1823066 2150274 2734599 3646132 4300548 5469198 5478079 10938396 10956158 16434237 21912316 32868474 38346553 62306749 65736948 76693106 115039659 124613498 153386212 186920247 230079318 249226996 373840494 436147243 460158636 747680988 872294486 1308441729 1744588972 2616883458 5233766916 6666822143 13333644286 20000466429 26667288572 40000932858 46667755001 80001865716 93335510002 140003265003 186671020004 280006530006 560013060012