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252128942280 = 233253631192883
BaseRepresentation
bin1110101011010000001…
…1100101100011001000
3220002210022002022220100
43222310003211203020
513112330002123110
6311454302125400
724133663435365
oct3526403454310
9802708068810
10252128942280
1197a22240086
1240a45580860
131aa11171457
14c2bb47346c
156859b9bbc0
hex3ab40e58c8

252128942280 has 96 divisors (see below), whose sum is σ = 819648984960. Its totient is φ = 67215519360.

The previous prime is 252128942279. The next prime is 252128942287. The reversal of 252128942280 is 82249821252.

252128942280 is a `hidden beast` number, since 2 + 5 + 212 + 8 + 9 + 422 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (252128942287) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1210719 + ... + 1403601.

It is an arithmetic number, because the mean of its divisors is an integer number (8538010260).

Almost surely, 2252128942280 is an apocalyptic number.

252128942280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252128942280 is an abundant number, since it is smaller than the sum of its proper divisors (567520042680).

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

252128942280 is a wasteful number, since it uses less digits than its factorization.

252128942280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196531 (or 196524 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 252128942280 in words is "two hundred fifty-two billion, one hundred twenty-eight million, nine hundred forty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3631 7262 10893 14524 18155 21786 29048 32679 36310 43572 54465 65358 72620 87144 108930 130716 145240 163395 192883 217860 261432 326790 385766 435720 578649 653580 771532 964415 1157298 1307160 1543064 1735947 1928830 2314596 2893245 3471894 3857660 4629192 5786490 6943788 7715320 8679735 11572980 13887576 17359470 23145960 34718940 69437880 700358173 1400716346 2101074519 2801432692 3501790865 4202149038 5602865384 6303223557 7003581730 8404298076 10505372595 12606447114 14007163460 16808596152 21010745190 25212894228 28014326920 31516117785 42021490380 50425788456 63032235570 84042980760 126064471140 252128942280