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135561666969 = 323123721072
BaseRepresentation
bin111111001000000011…
…0101110000110011001
3110221220112012012102100
41332100012232012121
54210112241320334
6142135352554013
712536226104601
oct1762006560631
9427815165370
10135561666969
1152545032913
12223333b2909
13ca251ca131
1467bddb5c01
1537d6264c99
hex1f901ae199

135561666969 has 81 divisors (see below), whose sum is σ = 209909363391. Its totient is φ = 84300095520.

The previous prime is 135561666943. The next prime is 135561666997. The reversal of 135561666969 is 969666165531.

The square root of 135561666969 is 368187.

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

It can be written as a sum of positive squares in only one way, i.e., 121302441225 + 14259225744 = 348285^2 + 119412^2 .

It is not a de Polignac number, because 135561666969 - 27 = 135561666841 is a prime.

It is a super-2 number, since 2×1355616669692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135561662969) 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, 1266931414 + ... + 1266931520.

Almost surely, 2135561666969 is an apocalyptic number.

135561666969 is the 368187-th square number.

135561666969 is the 184094-th centered octagonal number.

It is an amenable number.

135561666969 is a deficient number, since it is larger than the sum of its proper divisors (74347696422).

135561666969 is an equidigital number, since it uses as much as digits as its factorization.

135561666969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its digits is 47239200, while the sum is 63.

The spelling of 135561666969 in words is "one hundred thirty-five billion, five hundred sixty-one million, six hundred sixty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 31 37 93 107 111 279 321 333 961 963 1147 1369 2883 3317 3441 3959 4107 8649 9951 10323 11449 11877 12321 29853 34347 35557 35631 42439 102827 103041 106671 122729 127317 146483 308481 320013 354919 368187 381951 423613 439449 925443 1064757 1104561 1270839 1315609 1318347 3194271 3804599 3812517 3946827 4540973 11002489 11413797 11840481 13132003 13622919 15673681 33007467 34241391 39396009 40868757 47021043 99022401 118188027 140770163 141063129 407092093 422310489 485884111 1221276279 1266931467 1457652333 3663828837 4372956999 15062407441 45187222323 135561666969