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252145051205130 = 23451477272107199
BaseRepresentation
bin111001010101001100011000…
…001101010111111000001010
31020001202211110011001212020000
4321111030120031113320022
5231022121031102031010
62252133500514343430
7104052610265324616
oct7125143015277012
91201684404055200
10252145051205130
117338312aaa7556
122434349758ab76
13aa9023a454885
144639c580da346
151e23d110bb7c0
hexe55318357e0a

252145051205130 has 80 divisors (see below), whose sum is σ = 677994937804800. Its totient is φ = 67238193257568.

The previous prime is 252145051205101. The next prime is 252145051205147. The reversal of 252145051205130 is 31502150541252.

252145051205130 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 4 + 5 + 0 + 512 + 0 + 5 + 130 = 666.

It is a Curzon number.

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 39 ways as a sum of consecutive naturals, for example, 118605271 + ... + 120712469.

It is an arithmetic number, because the mean of its divisors is an integer number (8474936722560).

Almost surely, 2252145051205130 is an apocalyptic number.

252145051205130 is an abundant number, since it is smaller than the sum of its proper divisors (425849886599670).

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

252145051205130 is a wasteful number, since it uses less digits than its factorization.

252145051205130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254945 (or 2254936 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 252145051205130 in words is "two hundred fifty-two trillion, one hundred forty-five billion, fifty-one million, two hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 147727 295454 443181 738635 886362 1329543 1477270 2107199 2215905 2659086 3988629 4214398 4431810 6321597 6647715 7977258 10535995 11965887 12643194 13295430 18964791 19943145 21071990 23931774 31607985 37929582 39886290 56894373 59829435 63215970 94823955 113788746 119658870 170683119 189647910 284471865 341366238 568943730 853415595 1706831190 311290186673 622580373346 933870560019 1556450933365 1867741120038 2801611680057 3112901866730 4669352800095 5603223360114 8404835040171 9338705600190 14008058400285 16809670080342 25214505120513 28016116800570 42024175200855 50429010241026 84048350401710 126072525602565 252145051205130