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252547242000 = 2435342091207
BaseRepresentation
bin1110101100110011111…
…1010001100000010000
3220010212110012011020120
43223030333101200100
513114204043221000
6312004003510240
724150233065164
oct3531477214020
9803773164216
10252547242000
1198117374929
1240b41688380
131aa79a1c291
14c31ac3cca4
1568817776a0
hex3accfd1810

252547242000 has 80 divisors (see below), whose sum is σ = 814212327552. Its totient is φ = 67345929600.

The previous prime is 252547241993. The next prime is 252547242041. The reversal of 252547242000 is 242745252.

252547242000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21039604 + ... + 21051603.

Almost surely, 2252547242000 is an apocalyptic number.

252547242000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252547242000 is an abundant number, since it is smaller than the sum of its proper divisors (561665085552).

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

252547242000 is a wasteful number, since it uses less digits than its factorization.

252547242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42091233 (or 42091217 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

Adding to 252547242000 its reverse (242745252), we get a palindrome (252789987252).

The spelling of 252547242000 in words is "two hundred fifty-two billion, five hundred forty-seven million, two hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 42091207 84182414 126273621 168364828 210456035 252547242 336729656 420912070 505094484 631368105 673459312 841824140 1010188968 1052280175 1262736210 1683648280 2020377936 2104560350 2525472420 3156840525 3367296560 4209120700 5050944840 5261400875 6313681050 8418241400 10101889680 10522801750 12627362100 15784202625 16836482800 21045603500 25254724200 31568405250 42091207000 50509448400 63136810500 84182414000 126273621000 252547242000