Search a number
-
+
52214254080 = 2935232910193
BaseRepresentation
bin110000101000001101…
…100100101000000000
311222202220022221012020
4300220031210220000
51323413322112310
635553100401440
73525626560002
oct605015445000
9158686287166
1052214254080
11201646489aa
12a152546280
134c01722341
14275483c372
151558e7a170
hexc28364a00

52214254080 has 320 divisors, whose sum is σ = 180203823360. Its totient is φ = 12857901056.

The previous prime is 52214254073. The next prime is 52214254111. The reversal of 52214254080 is 8045241225.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5117464 + ... + 5127656.

It is an arithmetic number, because the mean of its divisors is an integer number (563136948).

Almost surely, 252214254080 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 52214254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90101911680).

52214254080 is an abundant number, since it is smaller than the sum of its proper divisors (127989569280).

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

52214254080 is a wasteful number, since it uses less digits than its factorization.

52214254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271 (or 10255 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 52214254080 in words is "fifty-two billion, two hundred fourteen million, two hundred fifty-four thousand, eighty".