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11712435328 = 271117643761
BaseRepresentation
bin10101110100001110…
…11001010010000000
31010020021000100210001
422322013121102000
5142441340412303
65214114045344
7563150025526
oct127207312200
933207010701
1011712435328
114a70401020
12232a579854
1311486cbc09
147d1764316
154883bb31d
hex2ba1d9480

11712435328 has 128 divisors (see below), whose sum is σ = 27029298240. Its totient is φ = 4996300800.

The previous prime is 11712435307. The next prime is 11712435353. The reversal of 11712435328 is 82353421711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×117124353282 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15390468 + ... + 15391228.

Almost surely, 211712435328 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 11712435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13514649120).

11712435328 is an abundant number, since it is smaller than the sum of its proper divisors (15316862912).

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

11712435328 is a wasteful number, since it uses less digits than its factorization.

11712435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1434 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The spelling of 11712435328 in words is "eleven billion, seven hundred twelve million, four hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 643 704 748 761 1088 1286 1408 1496 1522 2176 2572 2992 3044 5144 5984 6088 7073 8371 10288 10931 11968 12176 12937 14146 16742 20576 21862 23936 24352 25874 28292 33484 41152 43724 48704 51748 56584 66968 82304 87448 97408 103496 113168 120241 133936 142307 174896 206992 226336 240482 267872 284614 349792 413984 452672 480964 489323 535744 569228 699584 827968 905344 961928 978646 1071488 1138456 1399168 1655936 1923856 1957292 2276912 3847712 3914584 4553824 5382553 7695424 7829168 8318491 9107648 10765106 15390848 15658336 16636982 18215296 21530212 31316672 33273964 43060424 62633344 66547928 86120848 91503401 133095856 172241696 183006802 266191712 344483392 366013604 532383424 688966784 732027208 1064766848 1464054416 2928108832 5856217664 11712435328