Search a number
-
+
13105345066156 = 2272361733455123
BaseRepresentation
bin1011111010110101001101…
…1011111111010010101100
31201101212012000211100212101
42332231103123333102230
53204204221314104111
643512302402544444
72521554445032220
oct276552333772254
951355160740771
1013105345066156
1141a2a446a8142
121577aa1668124
13740aa0972ca5
14334432ccc780
1517ad77c89bc1
hexbeb536ff4ac

13105345066156 has 96 divisors (see below), whose sum is σ = 27836636341248. Its totient is φ = 5277084975360.

The previous prime is 13105345066109. The next prime is 13105345066169. The reversal of 13105345066156 is 65166054350131.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 28567611 + ... + 29022733.

It is an arithmetic number, because the mean of its divisors is an integer number (289964961888).

Almost surely, 213105345066156 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 13105345066156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918318170624).

13105345066156 is an abundant number, since it is smaller than the sum of its proper divisors (14731291275092).

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

13105345066156 is a wasteful number, since it uses less digits than its factorization.

13105345066156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455951 (or 455949 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 13105345066156 in words is "thirteen trillion, one hundred five billion, three hundred forty-five million, sixty-six thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 61 92 122 161 244 322 427 644 733 854 1403 1466 1708 2806 2932 5131 5612 9821 10262 16859 19642 20524 33718 39284 44713 67436 89426 118013 178852 236026 312991 455123 472052 625982 910246 1028399 1251964 1820492 2056798 3185861 4113596 6371722 7198793 10467829 12743444 14397586 20935658 27762503 28795172 41871316 55525006 73274803 111050012 146549606 194337521 293099212 333605159 388675042 638537569 667210318 777350084 1277075138 1334420636 2335236113 2554150276 4469762983 4670472226 7672918657 8939525966 9340944452 15345837314 17879051932 20349914699 30691674628 40699829398 53710430599 81399658796 107420861198 142449402893 214841722396 284898805786 468048038077 569797611572 936096076154 1872192152308 3276336266539 6552672533078 13105345066156