Search a number
-
+
129604320036 = 223229220692
BaseRepresentation
bin111100010110100000…
…1001111101100100100
3110101112100101121202100
41320231001033230210
54110412201220121
6135312302212100
712235500354312
oct1705501175444
9411470347670
10129604320036
114aa682949a4
1221150284030
13c2b5c16689
1463b6b0b0b2
153588255026
hex1e2d04fb24

129604320036 has 81 divisors (see below), whose sum is σ = 339461467891. Its totient is φ = 41691574848.

The previous prime is 129604320029. The next prime is 129604320119. The reversal of 129604320036 is 630023406921.

The square root of 129604320036 is 360006.

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

129604320036 is a `hidden beast` number, since 1 + 29 + 604 + 3 + 20 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15576537636 + 114027782400 = 124806^2 + 337680^2 .

It is a super-2 number, since 2×1296043200362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 62640010 + ... + 62642078.

Almost surely, 2129604320036 is an apocalyptic number.

129604320036 is the 360006-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129604320036

129604320036 is an abundant number, since it is smaller than the sum of its proper divisors (209857147855).

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

129604320036 is an equidigital number, since it uses as much as digits as its factorization.

129604320036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4206 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 129604320036 by its sum of digits (36), we get a square (4665755521296 = 21600362).

129604320036 divided by its sum of digits (36) gives a square (3600120001 = 600012).

Adding to 129604320036 its reverse (630023406921), we get a palindrome (759627726957).

The spelling of 129604320036 in words is "one hundred twenty-nine billion, six hundred four million, three hundred twenty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2069 2523 3364 4138 5046 6207 7569 8276 10092 12414 15138 18621 24828 30276 37242 60001 74484 120002 180003 240004 360006 540009 720012 1080018 1740029 2160036 3480058 4280761 5220087 6960116 8561522 10440174 12842283 15660261 17123044 20880348 25684566 31320522 38526849 51369132 62641044 77053698 124142069 154107396 248284138 372426207 496568276 744852414 1117278621 1489704828 2234557242 3600120001 4469114484 7200240002 10800360003 14400480004 21600720006 32401080009 43201440012 64802160018 129604320036