Search a number
-
+
11471543232 = 263791395441
BaseRepresentation
bin10101010111100000…
…11101101111000000
31002121110201202221120
422223300131233000
5141443203340412
65134150552240
7554163336312
oct125360355700
932543652846
1011471543232
114957429246
122281968680
13110a828006
147ab7797b2
15472185b8c
hex2abc1dbc0

11471543232 has 112 divisors (see below), whose sum is σ = 30962803200. Its totient is φ = 3747594240.

The previous prime is 11471543219. The next prime is 11471543257. The reversal of 11471543232 is 23234517411.

11471543232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11471543193 and 11471543202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2105632 + ... + 2111072.

It is an arithmetic number, because the mean of its divisors is an integer number (276453600).

Almost surely, 211471543232 is an apocalyptic number.

11471543232 is a gapful number since it is divisible by the number (12) 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 11471543232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15481401600).

11471543232 is an abundant number, since it is smaller than the sum of its proper divisors (19491259968).

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

11471543232 is a wasteful number, since it uses less digits than its factorization.

11471543232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5674 (or 5664 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The spelling of 11471543232 in words is "eleven billion, four hundred seventy-one million, five hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 139 158 192 237 278 316 417 474 556 632 834 948 1112 1264 1668 1896 2224 2528 3336 3792 4448 5056 5441 6672 7584 8896 10882 10981 13344 15168 16323 21764 21962 26688 32646 32943 43528 43924 65292 65886 87056 87848 130584 131772 174112 175696 261168 263544 348224 351392 429839 522336 527088 702784 756299 859678 1044672 1054176 1289517 1512598 1719356 2108352 2268897 2579034 3025196 3438712 4537794 5158068 6050392 6877424 9075588 10316136 12100784 13754848 18151176 20632272 24201568 27509696 36302352 41264544 48403136 59747621 72604704 82529088 119495242 145209408 179242863 238990484 358485726 477980968 716971452 955961936 1433942904 1911923872 2867885808 3823847744 5735771616 11471543232