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53926160000 = 27542412797
BaseRepresentation
bin110010001110001111…
…111110011010000000
312011012012120202122012
4302032033332122000
51340420044110000
640435012432052
73616224540236
oct621617763200
9164165522565
1053926160000
1120962a03189
12a54b918628
1351152a9b1b
142877d42956
1516093d1735
hexc8e3fe680

53926160000 has 160 divisors (see below), whose sum is σ = 134851036980. Its totient is φ = 21473280000.

The previous prime is 53926159999. The next prime is 53926160021. The reversal of 53926160000 is 6162935.

It is a happy number.

53926160000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 39037504 + 53887122496 = 6248^2 + 232136^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19278602 + ... + 19281398.

Almost surely, 253926160000 is an apocalyptic number.

53926160000 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 53926160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67425518490).

53926160000 is an abundant number, since it is smaller than the sum of its proper divisors (80924876980).

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

53926160000 is an equidigital number, since it uses as much as digits as its factorization.

53926160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 53926160000 in words is "fifty-three billion, nine hundred twenty-six million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 241 250 320 400 482 500 625 640 800 964 1000 1205 1250 1600 1928 2000 2410 2500 2797 3200 3856 4000 4820 5000 5594 6025 7712 8000 9640 10000 11188 12050 13985 15424 16000 19280 20000 22376 24100 27970 30125 30848 38560 40000 44752 48200 55940 60250 69925 77120 80000 89504 96400 111880 120500 139850 150625 154240 179008 192800 223760 241000 279700 301250 349625 358016 385600 447520 482000 559400 602500 674077 699250 771200 895040 964000 1118800 1205000 1348154 1398500 1748125 1790080 1928000 2237600 2410000 2696308 2797000 3370385 3496250 3856000 4475200 4820000 5392616 5594000 6740770 6992500 8950400 9640000 10785232 11188000 13481540 13985000 16851925 19280000 21570464 22376000 26963080 27970000 33703850 43140928 44752000 53926160 55940000 67407700 84259625 86281856 107852320 111880000 134815400 168519250 215704640 223760000 269630800 337038500 421298125 431409280 539261600 674077000 842596250 1078523200 1348154000 1685192500 2157046400 2696308000 3370385000 5392616000 6740770000 10785232000 13481540000 26963080000 53926160000