Search a number
-
+
129226589361 = 321198272
BaseRepresentation
bin111100001011010000…
…0010100010010110001
3110100120000121220200100
41320112200110102301
54104124001324421
6135211010143013
712223232612562
oct1702640242261
9410500556610
10129226589361
114a89404a291
1221065881a69
13c2558a13bc
14637c8a2169
153564edec26
hex1e168144b1

129226589361 has 9 divisors (see below), whose sum is σ = 186662186841. Its totient is φ = 86150340612.

The previous prime is 129226589311. The next prime is 129226589363. The reversal of 129226589361 is 163985622921.

The square root of 129226589361 is 359481.

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

129226589361 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 26 + 589 + 36 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 129226589361 - 215 = 129226556593 is a prime.

It is a super-2 number, since 2×1292265893612 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129226589298 and 129226589307.

It is not an unprimeable number, because it can be changed into a prime (129226589363) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1018530 + ... + 1138356.

Almost surely, 2129226589361 is an apocalyptic number.

129226589361 is the 359481-st square number.

129226589361 is the 179741-st centered octagonal number.

It is an amenable number.

129226589361 is a deficient number, since it is larger than the sum of its proper divisors (57435597480).

129226589361 is an frugal number, since it uses more digits than its factorization.

129226589361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239660 (or 119830 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 129226589361 in words is "one hundred twenty-nine billion, two hundred twenty-six million, five hundred eighty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 119827 359481 1078443 14358509929 43075529787 129226589361