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13106056436 = 22112198571663
BaseRepresentation
bin11000011010010111…
…01000110011110100
31020211101100122112122
430031023220303310
5203320122301221
610004300135112
7642531433034
oct141513506364
936741318478
1013106056436
115616033200
122659237498
13130b3560a5
148c48958c4
1551a900eab
hex30d2e8cf4

13106056436 has 72 divisors (see below), whose sum is σ = 26583997440. Its totient is φ = 5633781120.

The previous prime is 13106056427. The next prime is 13106056441. The reversal of 13106056436 is 63465060131.

13106056436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13106056396 and 13106056405.

It is a congruent number.

It is an unprimeable number.

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, 7880141 + ... + 7881803.

Almost surely, 213106056436 is an apocalyptic number.

It is an amenable number.

13106056436 is an abundant number, since it is smaller than the sum of its proper divisors (13477941004).

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

13106056436 is a wasteful number, since it uses less digits than its factorization.

13106056436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 13106056436 in words is "thirteen billion, one hundred six million, fifty-six thousand, four hundred thirty-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 857 1663 1714 2299 3326 3428 4598 6652 9196 9427 16283 18293 18854 31597 32566 36586 37708 63194 65132 73172 103697 126388 179113 201223 207394 347567 358226 402446 414788 695134 716452 804892 1390268 1425191 1970243 2850382 3823237 3940486 5700764 7646474 7880972 15292948 15677101 27078629 31354202 54157258 62708404 108314516 172448111 297864919 344896222 595729838 689792444 1191459676 3276514109 6553028218 13106056436