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53432231200 = 255219721721
BaseRepresentation
bin110001110000110011…
…110010010100100000
312002220210011120200221
4301300303302110200
51333412122344300
640314010052424
73601046320465
oct616063622440
9162823146627
1053432231200
112072a113167
12a43241a114
135066b6c26a
14282c4cb66c
1515cad6731a
hexc70cf2520

53432231200 has 108 divisors (see below), whose sum is σ = 131183115462. Its totient is φ = 21252044800.

The previous prime is 53432231189. The next prime is 53432231221. The reversal of 53432231200 is 213223435.

It can be written as a sum of positive squares in 9 ways, for example, as 38697184656 + 14735046544 = 196716^2 + 121388^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31046340 + ... + 31048060.

Almost surely, 253432231200 is an apocalyptic number.

53432231200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53432231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65591557731).

53432231200 is an abundant number, since it is smaller than the sum of its proper divisors (77750884262).

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

53432231200 is a wasteful number, since it uses less digits than its factorization.

53432231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 53432231200 its reverse (213223435), we get a palindrome (53645454635).

The spelling of 53432231200 in words is "fifty-three billion, four hundred thirty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 197 200 394 400 788 800 985 1576 1721 1970 3152 3442 3940 4925 6304 6884 7880 8605 9850 13768 15760 17210 19700 27536 31520 34420 38809 39400 43025 55072 68840 77618 78800 86050 137680 155236 157600 172100 194045 275360 310472 339037 344200 388090 620944 678074 688400 776180 970225 1241888 1356148 1376800 1552360 1695185 1940450 2712296 3104720 3390370 3880900 5424592 6209440 6780740 7761800 8475925 10849184 13561480 15523600 16951850 27122960 31047200 33903700 54245920 66790289 67807400 133580578 135614800 267161156 271229600 333951445 534322312 667902890 1068644624 1335805780 1669757225 2137289248 2671611560 3339514450 5343223120 6679028900 10686446240 13358057800 26716115600 53432231200