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11116422432 = 2532317915761
BaseRepresentation
bin10100101101001011…
…10010010100100000
31001200201111202210100
422112211302110200
5140231301004212
65035023302400
7542322013563
oct122645622440
931621452710
1011116422432
114794a26785
1221a2a4aa00
13108209b06b
147765384da
15450dd9bdc
hex296972520

11116422432 has 144 divisors (see below), whose sum is σ = 33047239680. Its totient is φ = 3540326400.

The previous prime is 11116422377. The next prime is 11116422437. The reversal of 11116422432 is 23422461111.

11116422432 is a `hidden beast` number, since 1 + 1 + 11 + 642 + 2 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11116422396 and 11116422405.

It is not an unprimeable number, because it can be changed into a prime (11116422437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697432 + ... + 713192.

It is an arithmetic number, because the mean of its divisors is an integer number (229494720).

Almost surely, 211116422432 is an apocalyptic number.

11116422432 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 11116422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16523619840).

11116422432 is an abundant number, since it is smaller than the sum of its proper divisors (21930817248).

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

11116422432 is a wasteful number, since it uses less digits than its factorization.

11116422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15887 (or 15876 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 11116422432 its reverse (23422461111), we get a palindrome (34538883543).

The spelling of 11116422432 in words is "eleven billion, one hundred sixteen million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 79 93 96 124 144 158 186 237 248 279 288 316 372 474 496 558 632 711 744 948 992 1116 1264 1422 1488 1896 2232 2449 2528 2844 2976 3792 4464 4898 5688 7347 7584 8928 9796 11376 14694 15761 19592 22041 22752 29388 31522 39184 44082 47283 58776 63044 78368 88164 94566 117552 126088 141849 176328 189132 235104 252176 283698 352656 378264 488591 504352 567396 705312 756528 977182 1134792 1245119 1465773 1513056 1954364 2269584 2490238 2931546 3735357 3908728 4397319 4539168 4980476 5863092 7470714 7817456 8794638 9960952 11206071 11726184 14941428 15634912 17589276 19921904 22412142 23452368 29882856 35178552 38598689 39843808 44824284 46904736 59765712 70357104 77197378 89648568 115796067 119531424 140714208 154394756 179297136 231592134 308789512 347388201 358594272 463184268 617579024 694776402 926368536 1235158048 1389552804 1852737072 2779105608 3705474144 5558211216 11116422432