Search a number
-
+
52353423360 = 211345771127
BaseRepresentation
bin110000110000100000…
…011101100000000000
312000010121012110120000
4300300200131200000
51324204434021420
640014551320000
73532236520230
oct606040354000
9160117173500
1052353423360
1120226162937
12a191080000
134c244cb524
142769107cc0
1515662ba690
hexc3081d800

52353423360 has 960 divisors, whose sum is σ = 219191132160. Its totient is φ = 11705057280.

The previous prime is 52353423349. The next prime is 52353423361. The reversal of 52353423360 is 6332435325.

52353423360 is a `hidden beast` number, since 523 + 5 + 3 + 42 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×523534233602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52353423361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412231617 + ... + 412231743.

It is an arithmetic number, because the mean of its divisors is an integer number (228324096).

Almost surely, 252353423360 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 52353423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109595566080).

52353423360 is an abundant number, since it is smaller than the sum of its proper divisors (166837708800).

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

52353423360 is a wasteful number, since it uses less digits than its factorization.

52353423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 52353423360 its reverse (6332435325), we get a palindrome (58685858685).

The spelling of 52353423360 in words is "fifty-two billion, three hundred fifty-three million, four hundred twenty-three thousand, three hundred sixty".