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253450235322450 = 232524719079628097
BaseRepresentation
bin111001101000001011111011…
…001111101010000001010010
31020020101121100200020202111100
4321220023323033222001102
5231210012040220304300
62255013233011525230
7104246114050301055
oct7150137317520122
91206347320222440
10253450235322450
1173836706450821
122451442abb9816
13ab5634059384a
1446830b1d92a9c
151e47c501b6700
hexe682fb3ea052

253450235322450 has 144 divisors (see below), whose sum is σ = 695461862234880. Its totient is φ = 66145141493760.

The previous prime is 253450235322421. The next prime is 253450235322467. The reversal of 253450235322450 is 54223532054352.

253450235322450 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 50 + 2 + 353 + 2 + 245 + 0 = 666.

253450235322450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 253450235322396 and 253450235322405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403206802 + ... + 403834898.

It is an arithmetic number, because the mean of its divisors is an integer number (4829596265520).

Almost surely, 2253450235322450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253450235322450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347730931117440).

253450235322450 is an abundant number, since it is smaller than the sum of its proper divisors (442011626912430).

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

253450235322450 is a wasteful number, since it uses less digits than its factorization.

253450235322450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647241 (or 647233 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 253450235322450 in words is "two hundred fifty-three trillion, four hundred fifty billion, two hundred thirty-five million, three hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 47 50 75 90 94 141 150 225 235 282 423 450 470 705 846 1175 1410 2115 2350 3525 4230 7050 10575 19079 21150 38158 57237 95395 114474 171711 190790 286185 343422 476975 572370 628097 858555 896713 953950 1256194 1430925 1717110 1793426 1884291 2690139 2861850 3140485 3768582 4292775 4483565 5380278 5652873 6280970 8070417 8585550 8967130 9421455 11305746 13450695 15702425 16140834 18842910 22417825 26901390 28264365 29520559 31404850 40352085 44835650 47107275 56528730 59041118 67253475 80704170 88561677 94214550 134506950 141321825 147602795 177123354 201760425 265685031 282643650 295205590 403520850 442808385 531370062 738013975 885616770 1328425155 1476027950 2214041925 2656850310 4428083850 6642125775 11983462663 13284251550 23966925326 35950387989 59917313315 71900775978 107851163967 119834626630 179751939945 215702327934 299586566575 359503879890 539255819835 563222745161 599173133150 898759699725 1078511639670 1126445490322 1689668235483 1797519399450 2696279099175 2816113725805 3379336470966 5069004706449 5392558198350 5632227451610 8448341177415 10138009412898 14080568629025 16896682354830 25345023532245 28161137258050 42241705887075 50690047064490 84483411774150 126725117661225 253450235322450