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52463206160 = 2456155719301
BaseRepresentation
bin110000110111000011…
…001111111100010000
312000102020210000020122
4300313003033330100
51324421040044120
640033512325412
73535041615551
oct606703177420
9160366700218
1052463206160
1120282126322
12a2019a3868
134c41188a71
142779924328
151570c53a25
hexc370cff10

52463206160 has 80 divisors (see below), whose sum is σ = 124205590512. Its totient is φ = 20603136000.

The previous prime is 52463206157. The next prime is 52463206189. The reversal of 52463206160 is 6160236425.

It is a happy number.

52463206160 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 8 ways, for example, as 15904236544 + 36558969616 = 126112^2 + 191204^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 52463206160.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708510 + ... + 2727810.

Almost surely, 252463206160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52463206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62102795256).

52463206160 is an abundant number, since it is smaller than the sum of its proper divisors (71742384352).

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

52463206160 is a wasteful number, since it uses less digits than its factorization.

52463206160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19932 (or 19926 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 52463206160 in words is "fifty-two billion, four hundred sixty-three million, two hundred six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 557 610 976 1114 1220 2228 2440 2785 4456 4880 5570 8912 11140 19301 22280 33977 38602 44560 67954 77204 96505 135908 154408 169885 193010 271816 308816 339770 386020 543632 679540 772040 1177361 1359080 1544080 2354722 2718160 4709444 5886805 9418888 10750657 11773610 18837776 21501314 23547220 43002628 47094440 53753285 86005256 94188880 107506570 172010512 215013140 430026280 655790077 860052560 1311580154 2623160308 3278950385 5246320616 6557900770 10492641232 13115801540 26231603080 52463206160