Search a number
-
+
13262059227136 = 21117757750273
BaseRepresentation
bin1100000011111101000001…
…0101000100100000000000
31201221211200201011121002211
43000333100111010200000
53214241144130232021
644112301135151504
72536103122312636
oct300772025044000
951854621147084
1013262059227136
114253453768865
1215a2338975594
137527b7248065
1433bc5c271356
1517ee9b0203e1
hexc0fd0544800

13262059227136 has 96 divisors (see below), whose sum is σ = 28081768380120. Its totient is φ = 6240021250048.

The previous prime is 13262059227127. The next prime is 13262059227149. The reversal of 13262059227136 is 63172295026231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9803411481600 + 3458647745536 = 3131040^2 + 1859744^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13262059227136.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263775696 + ... + 263825968.

Almost surely, 213262059227136 is an apocalyptic number.

13262059227136 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 13262059227136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040884190060).

13262059227136 is an abundant number, since it is smaller than the sum of its proper divisors (14819709152984).

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

13262059227136 is an equidigital number, since it uses as much as digits as its factorization.

13262059227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57889 (or 57869 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 13262059227136 in words is "thirteen trillion, two hundred sixty-two billion, fifty-nine million, two hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 4352 7577 8704 15154 17408 30308 34816 50273 60616 100546 121232 128809 201092 242464 257618 402184 484928 515236 804368 854641 969856 1030472 1608736 1709282 1939712 2060944 3217472 3418564 3879424 4121888 6434944 6837128 7758848 8243776 12869888 13674256 15517696 16487552 25739776 27348512 32975104 51479552 54697024 65950208 102959104 109394048 131900416 218788096 263800832 380918521 437576192 761837042 875152384 1523674084 1750304768 3047348168 6094696336 6475614857 12189392672 12951229714 24378785344 25902459428 48757570688 51804918856 97515141376 103609837712 195030282752 207219675424 390060565504 414439350848 780121131008 828878701696 1657757403392 3315514806784 6631029613568 13262059227136