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129481227225 = 3252722321492
BaseRepresentation
bin111100010010110101…
…1101011101111011001
3110101012202202212011100
41320211223223233121
54110134143232400
6135252144022013
712232444162200
oct1704553535731
9411182685140
10129481227225
114aa048604a9
1221117001909
13c296578aac
1463a4628237
15357c53d100
hex1e25aebbd9

129481227225 has 243 divisors, whose sum is σ = 283923926013. Its totient is φ = 56237892480.

The previous prime is 129481227173. The next prime is 129481227259. The reversal of 129481227225 is 522722184921.

The square root of 129481227225 is 359835.

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

129481227225 is a `hidden beast` number, since 129 + 4 + 81 + 227 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38644089561 + 90837137664 = 196581^2 + 301392^2 .

It is not a de Polignac number, because 129481227225 - 219 = 129480702937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 869001451 + ... + 869001599.

Almost surely, 2129481227225 is an apocalyptic number.

129481227225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

129481227225 is the 359835-th square number.

129481227225 is the 179918-th centered octagonal number.

It is an amenable number.

129481227225 is an abundant number, since it is smaller than the sum of its proper divisors (154442698788).

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

129481227225 is a wasteful number, since it uses less digits than its factorization.

129481227225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 187 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 129481227225 in words is "one hundred twenty-nine billion, four hundred eighty-one million, two hundred twenty-seven thousand, two hundred twenty-five".