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134643263625 = 32531337248821
BaseRepresentation
bin111110101100101011…
…1010010100010001001
3110212112112001110212200
41331121113102202021
54201222133414000
6141504304230413
712504404600043
oct1753127224211
9425475043780
10134643263625
1152113680892
122211790b409
13c909b5bcc0
146734028a93
153780800500
hex1f595d2889

134643263625 has 96 divisors (see below), whose sum is σ = 268453060512. Its totient is φ = 64494144000.

The previous prime is 134643263549. The next prime is 134643263687. The reversal of 134643263625 is 526362346431.

134643263625 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 4 + 3 + 2 + 636 + 2 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 120970404864 + 13672858761 = 347808^2 + 116931^2 .

It is not a de Polignac number, because 134643263625 - 27 = 134643263497 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 416715 + ... + 665535.

It is an arithmetic number, because the mean of its divisors is an integer number (2796386047).

Almost surely, 2134643263625 is an apocalyptic number.

134643263625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134643263625 is a deficient number, since it is larger than the sum of its proper divisors (133809796887).

134643263625 is a wasteful number, since it uses less digits than its factorization.

134643263625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248892 (or 248879 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 134643263625 in words is "one hundred thirty-four billion, six hundred forty-three million, two hundred sixty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 37 39 45 65 75 111 117 125 185 195 225 325 333 375 481 555 585 925 975 1125 1443 1625 1665 2405 2775 2925 4329 4625 4875 7215 8325 12025 13875 14625 21645 36075 41625 60125 108225 180375 248821 541125 746463 1244105 2239389 3234673 3732315 6220525 9206377 9704019 11196945 16173365 18661575 27619131 29112057 31102625 46031885 48520095 55984725 80866825 82857393 93307875 119682901 138095655 145560285 230159425 242600475 279923625 359048703 404334125 414286965 598414505 690478275 727801425 1077146109 1150797125 1213002375 1795243515 2071434825 2992072525 3452391375 3639007125 5385730545 8976217575 10357174125 14960362625 26928652725 44881087875 134643263625