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134385295396 = 221121928772
BaseRepresentation
bin111110100100111111…
…1001110000000100100
3110211212112122022222211
41331021333032000210
54200210113423041
6141422531133204
712465123110062
oct1751177160044
9424775568884
10134385295396
1151aa0aa5500
1222065444204
13c898589791
14670ba77032
153767d45481
hex1f49fce024

134385295396 has 81 divisors (see below), whose sum is σ = 273129952977. Its totient is φ = 57803280480.

The previous prime is 134385295393. The next prime is 134385295403. The reversal of 134385295396 is 693592583431.

The square root of 134385295396 is 366586.

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

It can be written as a sum of positive squares in only one way, i.e., 113225520100 + 21159775296 = 336490^2 + 145464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134385295396.

It is not an unprimeable number, because it can be changed into a prime (134385295391) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 153232510 + ... + 153233386.

Almost surely, 2134385295396 is an apocalyptic number.

134385295396 is the 366586-th square number.

It is an amenable number.

134385295396 is an abundant number, since it is smaller than the sum of its proper divisors (138744657581).

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

134385295396 is an equidigital number, since it uses as much as digits as its factorization.

134385295396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 909 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 58.

The spelling of 134385295396 in words is "one hundred thirty-four billion, three hundred eighty-five million, two hundred ninety-five thousand, three hundred ninety-six".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 361 418 484 722 836 877 1444 1754 2299 3508 3971 4598 7942 9196 9647 15884 16663 19294 33326 38588 43681 66652 87362 106117 174724 183293 212234 316597 366586 424468 633194 733172 769129 1266388 1538258 2016223 3076516 3482567 4032446 6965134 8064892 8460419 13930268 14613451 16920838 29226902 33841676 38308237 58453804 76616474 93064609 153232948 160747961 186129218 277655569 321495922 372258436 555311138 642991844 1110622276 1768227571 3054211259 3536455142 6108422518 7072910284 12216845036 33596323849 67192647698 134385295396