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52132223124 = 22328987718553
BaseRepresentation
bin110000100011010100…
…101001100010010100
311222120011222022212200
4300203110221202110
51323231322114444
635541010244500
73523612404462
oct604324514224
9158504868780
1052132223124
112012230a923
12a12ab86730
134bba730707
1427479a7832
151551b74969
hexc23529894

52132223124 has 72 divisors (see below), whose sum is σ = 133418474280. Its totient is φ = 17161638912.

The previous prime is 52132223113. The next prime is 52132223147. The reversal of 52132223124 is 42132223125.

52132223124 is a `hidden beast` number, since 5 + 21 + 322 + 2 + 312 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1209787524 + 50922435600 = 34782^2 + 225660^2 .

It is a super-3 number, since 3×521322231243 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2800632 + ... + 2819184.

It is an arithmetic number, because the mean of its divisors is an integer number (1853034365).

Almost surely, 252132223124 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 52132223124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66709237140).

52132223124 is an abundant number, since it is smaller than the sum of its proper divisors (81286251156).

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

52132223124 is a wasteful number, since it uses less digits than its factorization.

52132223124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19529 (or 19524 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 52132223124 its reverse (42132223125), we get a palindrome (94264446249).

Subtracting from 52132223124 its reverse (42132223125), we obtain a palindrome (9999999999).

It can be divided in two parts, 521322 and 23124, that added together give a triangular number (544446 = T1043).

The spelling of 52132223124 in words is "fifty-two billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 877 1068 1602 1754 2631 3204 3508 5262 7893 10524 15786 18553 31572 37106 55659 74212 78053 111318 156106 166977 222636 234159 312212 333954 468318 667908 702477 936636 1404954 1651217 2809908 3302434 4953651 6604868 9907302 14860953 16270981 19814604 29721906 32541962 48812943 59443812 65083924 97625886 146438829 195251772 292877658 585755316 1448117309 2896234618 4344351927 5792469236 8688703854 13033055781 17377407708 26066111562 52132223124