Search a number
-
+
13067511216 = 24310919312941
BaseRepresentation
bin11000010101110001…
…00110010110110000
31020201200211100102220
430022320212112300
5203230240324331
610000402041040
7641553004224
oct141270462660
936650740386
1013067511216
1155a62a6651
122648349180
13130337b776
148bd700784
1551733a296
hex30ae265b0

13067511216 has 80 divisors (see below), whose sum is σ = 34246602720. Its totient is φ = 4293181440.

The previous prime is 13067511209. The next prime is 13067511217. The reversal of 13067511216 is 61211576031.

It is not an unprimeable number, because it can be changed into a prime (13067511217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1003306 + ... + 1016246.

It is an arithmetic number, because the mean of its divisors is an integer number (428082534).

Almost surely, 213067511216 is an apocalyptic number.

13067511216 is a gapful number since it is divisible by the number (16) 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 13067511216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123301360).

13067511216 is an abundant number, since it is smaller than the sum of its proper divisors (21179091504).

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

13067511216 is a wasteful number, since it uses less digits than its factorization.

13067511216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13254 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 13067511216 in words is "thirteen billion, sixty-seven million, five hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 193 218 327 386 436 579 654 772 872 1158 1308 1544 1744 2316 2616 3088 4632 5232 9264 12941 21037 25882 38823 42074 51764 63111 77646 84148 103528 126222 155292 168296 207056 252444 310584 336592 504888 621168 1009776 1410569 2497613 2821138 4231707 4995226 5642276 7492839 8463414 9990452 11284552 14985678 16926828 19980904 22569104 29971356 33853656 39961808 59942712 67707312 119885424 272239817 544479634 816719451 1088959268 1633438902 2177918536 3266877804 4355837072 6533755608 13067511216