Search a number
-
+
384168115116 = 223443160717159
BaseRepresentation
bin1011001011100100011…
…01000011101110101100
31100201121100002021210000
411211302031003232230
522243234014140431
6452252343544300
736520021046142
oct5456215035654
91321540067700
10384168115116
11138a19981a15
126255515b090
132a2c4657516
14148456b3592
159ed6a5e9e6
hex5972343bac

384168115116 has 120 divisors (see below), whose sum is σ = 1028346359040. Its totient is φ = 124992872928.

The previous prime is 384168115099. The next prime is 384168115127. The reversal of 384168115116 is 611511861483.

384168115116 is a `hidden beast` number, since 3 + 8 + 416 + 8 + 115 + 116 = 666.

384168115116 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22380145 + ... + 22397303.

It is an arithmetic number, because the mean of its divisors is an integer number (8569552992).

Almost surely, 2384168115116 is an apocalyptic number.

384168115116 is a gapful number since it is divisible by the number (36) 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 384168115116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514173179520).

384168115116 is an abundant number, since it is smaller than the sum of its proper divisors (644178243924).

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

384168115116 is a wasteful number, since it uses less digits than its factorization.

384168115116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18825 (or 18814 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

Adding to 384168115116 its reverse (611511861483), we get a palindrome (995679976599).

The spelling of 384168115116 in words is "three hundred eighty-four billion, one hundred sixty-eight million, one hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 1607 2322 3214 3483 4644 4821 6428 6966 9642 13932 14463 17159 19284 28926 34318 43389 51477 57852 68636 69101 86778 102954 130167 138202 154431 173556 205908 207303 260334 276404 308862 414606 463293 520668 617724 621909 737837 829212 926586 1243818 1389879 1475674 1853172 1865727 2213511 2487636 2779758 2951348 3731454 4427022 5559516 5597181 6640533 7462908 8854044 11194362 13281066 19921599 22388724 26562132 27574513 39843198 55149026 59764797 79686396 82723539 110298052 119529594 165447078 239059188 248170617 330894156 496341234 744511851 992682468 1185704059 1489023702 2233535553 2371408118 2978047404 3557112177 4467071106 4742816236 7114224354 8934142212 10671336531 14228448708 21342673062 32014009593 42685346124 64028019186 96042028779 128056038372 192084057558 384168115116