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53385919200 = 2532527414711
BaseRepresentation
bin110001101110000011…
…000111101011100000
312002210120000200120200
4301232003013223200
51333313243403300
640305233305200
73566644553205
oct615603075340
9162716020520
1053385919200
1120705a61289
12a41aa05200
13505a3a5703
1428262b3cac
1515c6c6a200
hexc6e0c7ae0

53385919200 has 108 divisors (see below), whose sum is σ = 188252122968. Its totient is φ = 14236243200.

The previous prime is 53385919193. The next prime is 53385919201. The reversal of 53385919200 is 291958335.

53385919200 is a `hidden beast` number, since 5 + 3 + 38 + 591 + 9 + 20 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53385919201) 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 17 ways as a sum of consecutive naturals, for example, 3700156 + ... + 3714555.

Almost surely, 253385919200 is an apocalyptic number.

53385919200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53385919200 is an abundant number, since it is smaller than the sum of its proper divisors (134866203768).

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

53385919200 is a wasteful number, since it uses less digits than its factorization.

53385919200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414737 (or 7414721 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 53385919200 in words is "fifty-three billion, three hundred eighty-five million, nine hundred nineteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 7414711 14829422 22244133 29658844 37073555 44488266 59317688 66732399 74147110 88976532 111220665 118635376 133464798 148294220 177953064 185367775 222441330 237270752 266929596 296588440 333661995 355906128 370735550 444882660 533859192 556103325 593176880 667323990 711812256 741471100 889765320 1067718384 1112206650 1186353760 1334647980 1482942200 1668309975 1779530640 2135436768 2224413300 2669295960 2965884400 3336619950 3559061280 4448826600 5338591920 5931768800 6673239900 8897653200 10677183840 13346479800 17795306400 26692959600 53385919200