Search a number
-
+
13263346244436 = 22317676311537867
BaseRepresentation
bin1100000100000001110100…
…0010101001101101010100
31201221222000101220211221020
43001000131002221231110
53214301313114310221
644113032552321140
72536150040631651
oct301003502515524
951858011824836
1013263346244436
114253a541a8a22
1215a26379a31b0
13752960a88962
1433bd41172c28
15180023ee8ac6
hexc101d0a9b54

13263346244436 has 96 divisors (see below), whose sum is σ = 33310073244672. Its totient is φ = 4092445969920.

The previous prime is 13263346244431. The next prime is 13263346244501. The reversal of 13263346244436 is 63444264336231.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13263346244431) 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, 7855575 + ... + 9393441.

It is an arithmetic number, because the mean of its divisors is an integer number (346979929632).

Almost surely, 213263346244436 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 13263346244436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655036622336).

13263346244436 is an abundant number, since it is smaller than the sum of its proper divisors (20046727000236).

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

13263346244436 is a wasteful number, since it uses less digits than its factorization.

13263346244436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538589 (or 1538587 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 51.

The spelling of 13263346244436 in words is "thirteen trillion, two hundred sixty-three billion, three hundred forty-six million, two hundred forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 67 68 102 134 201 204 268 402 631 804 1139 1262 1893 2278 2524 3417 3786 4556 6834 7572 10727 13668 21454 32181 42277 42908 64362 84554 126831 128724 169108 253662 507324 718709 1437418 1537867 2156127 2874836 3075734 4312254 4613601 6151468 8624508 9227202 18454404 26143739 52287478 78431217 103037089 104574956 156862434 206074178 309111267 313724868 412148356 618222534 970394077 1236445068 1751630513 1940788154 2911182231 3503261026 3881576308 5254891539 5822364462 7006522052 10509783078 11644728924 16496699309 21019566156 32993398618 49490097927 65016403159 65986797236 98980195854 130032806318 195049209477 197960391708 260065612636 390098418954 780196837908 1105278853703 2210557707406 3315836561109 4421115414812 6631673122218 13263346244436