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53673984800 = 255281912
BaseRepresentation
bin110001111111001110…
…000000001100100000
312010112122001221021222
4301333032000030200
51334411020003200
640354003434212
73610043225462
oct617716001440
9163478057258
1053673984800
1120843624227
12a49b385968
1350a4c85327
14285265c132
1515e21bcd85
hexc7f380320

53673984800 has 54 divisors (see below), whose sum is σ = 131047614369. Its totient is φ = 21466972800.

The previous prime is 53673984797. The next prime is 53673984829. The reversal of 53673984800 is 848937635.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 52600505104 + 1073479696 = 229348^2 + 32764^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=163820.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6548705 + ... + 6556895.

Almost surely, 253673984800 is an apocalyptic number.

53673984800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53673984800 is an abundant number, since it is smaller than the sum of its proper divisors (77373629569).

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

53673984800 is an frugal number, since it uses more digits than its factorization.

53673984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16402 (or 8198 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 53.

The spelling of 53673984800 in words is "fifty-three billion, six hundred seventy-three million, nine hundred eighty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 8191 16382 32764 40955 65528 81910 131056 163820 204775 262112 327640 409550 655280 819100 1310560 1638200 3276400 6552800 67092481 134184962 268369924 335462405 536739848 670924810 1073479696 1341849620 1677312025 2146959392 2683699240 3354624050 5367398480 6709248100 10734796960 13418496200 26836992400 53673984800