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129797606925 = 3352757747609
BaseRepresentation
bin111100011100010001…
…0100100111000001101
3110102000211002121112000
41320320202210320031
54111311141410200
6135343405102513
712243335312040
oct1707042447015
9412024077460
10129797606925
1150057402228
12211a4b57a39
13c316c9020c
1463d4662c57
15359a1d5300
hex1e388a4e0d

129797606925 has 96 divisors (see below), whose sum is σ = 272984313600. Its totient is φ = 59231969280.

The previous prime is 129797606837. The next prime is 129797606977. The reversal of 129797606925 is 529606797921.

129797606925 is a `hidden beast` number, since 12 + 9 + 7 + 9 + 7 + 606 + 9 + 2 + 5 = 666.

It is not a de Polignac number, because 129797606925 - 220 = 129796558349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2702521 + ... + 2750129.

It is an arithmetic number, because the mean of its divisors is an integer number (2843586600).

Almost surely, 2129797606925 is an apocalyptic number.

129797606925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

129797606925 is an abundant number, since it is smaller than the sum of its proper divisors (143186706675).

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

129797606925 is a wasteful number, since it uses less digits than its factorization.

129797606925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48212 (or 48201 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 129797606925 in words is "one hundred twenty-nine billion, seven hundred ninety-seven million, six hundred six thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 577 675 945 1575 1731 2885 4039 4725 5193 8655 12117 14425 15579 20195 25965 36351 43275 47609 60585 77895 100975 109053 129825 142827 181755 238045 302925 333263 389475 428481 545265 714135 908775 999789 1190225 1285443 1666315 2142405 2726325 2999367 3570675 4998945 6427215 8331575 8998101 10712025 14996835 24994725 27470393 32136075 44990505 74984175 82411179 137351965 192292751 224952525 247233537 412055895 576878253 686759825 741700611 961463755 1236167685 1730634759 2060279475 2884391265 3708503055 4807318775 5191904277 6180838425 8653173795 14421956325 18542515275 25959521385 43265868975 129797606925