Search a number
-
+
129913389225 = 3252240292
BaseRepresentation
bin111100011111101110…
…0010000000010101001
3110102022212221221222100
41320333130100002221
54112030311423400
6135403102444013
712246242405544
oct1707734200251
9412285857870
10129913389225
11501067a3184
1221217893609
13c334c6b459
146405ba185b
1535a5456100
hex1e3f7100a9

129913389225 has 27 divisors (see below), whose sum is σ = 232698999013. Its totient is φ = 69284257440.

The previous prime is 129913389211. The next prime is 129913389259. The reversal of 129913389225 is 522983319921.

The square root of 129913389225 is 360435.

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

129913389225 is a `hidden beast` number, since 1 + 29 + 9 + 13 + 389 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43576145001 + 86337244224 = 208749^2 + 293832^2 .

It is not a de Polignac number, because 129913389225 - 221 = 129911292073 is a prime.

It is a super-2 number, since 2×1299133892252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5394511 + ... + 5418539.

Almost surely, 2129913389225 is an apocalyptic number.

129913389225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

129913389225 is the 360435-th square number.

129913389225 is the 180218-th centered octagonal number.

It is an amenable number.

129913389225 is a deficient number, since it is larger than the sum of its proper divisors (102785609788).

129913389225 is an frugal number, since it uses more digits than its factorization.

129913389225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48074 (or 24037 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 129913389225 in words is "one hundred twenty-nine billion, nine hundred thirteen million, three hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 24029 72087 120145 216261 360435 600725 1081305 1802175 5406525 577392841 1732178523 2886964205 5196535569 8660892615 14434821025 25982677845 43304463075 129913389225