Search a number
-
+
13422162795129 = 3211267216572
BaseRepresentation
bin1100001101010001011100…
…1111101101101001111001
31202112010221121021112200100
43003110113033231221321
53224402042133421004
644314020110230013
72553501464221434
oct303242717555171
952463847245610
1013422162795129
114305341a8a100
12160937b1b5309
13764920aa74ca
143458c982481b
1518421bb19739
hexc35173eda79

13422162795129 has 81 divisors (see below), whose sum is σ = 21646177460271. Its totient is φ = 8008395531840.

The previous prime is 13422162795091. The next prime is 13422162795149. The reversal of 13422162795129 is 92159726122431.

The square root of 13422162795129 is 3663627.

It is a perfect power (a square), and thus also a powerful number.

13422162795129 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 2 + 1 + 627 + 9 + 5 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4273667271225 + 9148495523904 = 2067285^2 + 3024648^2 .

It is not a de Polignac number, because 13422162795129 - 27 = 13422162795001 is a prime.

It is a super-2 number, since 2×134221627951292 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13422162795149) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8100278469 + ... + 8100280125.

Almost surely, 213422162795129 is an apocalyptic number.

13422162795129 is the 3663627-th square number.

13422162795129 is the 1831814-th centered octagonal number.

It is an amenable number.

13422162795129 is a deficient number, since it is larger than the sum of its proper divisors (8224014665142).

13422162795129 is an frugal number, since it uses more digits than its factorization.

13422162795129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3476 (or 1738 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 13422162795129 in words is "thirteen trillion, four hundred twenty-two billion, one hundred sixty-two million, seven hundred ninety-five thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 33 67 99 121 201 363 603 737 1089 1657 2211 4489 4971 6633 8107 13467 14913 18227 24321 40401 49379 54681 72963 111019 148137 164043 200497 333057 444411 543169 601491 999171 1221209 1629507 1804473 2745649 3663627 4888521 7438273 8236947 10990881 13433299 22314819 24710841 30202139 40299897 66944457 81821003 90606417 120899691 183958483 245463009 271819251 332223529 551875449 736389027 900031033 996670587 1655626347 2023543313 2700093099 2990011761 6070629939 8100279297 12325218361 18211889817 22258976443 36975655083 66776929329 110926965249 135577401971 200330787987 406732205913 1220196617739 1491351421681 4474054265043 13422162795129