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11124053664 = 2531371635189
BaseRepresentation
bin10100101110000101…
…11001011010100000
31001201020212110212120
422113002321122200
5140240224204124
65035455024240
7542443616223
oct122702713240
931636773776
1011124053664
114799269189
1221a550b080
131083840699
147775635ba
154518e5d79
hex2970b96a0

11124053664 has 96 divisors (see below), whose sum is σ = 29599940160. Its totient is φ = 3657664512.

The previous prime is 11124053651. The next prime is 11124053687. The reversal of 11124053664 is 46635042111.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2141182 + ... + 2146370.

It is an arithmetic number, because the mean of its divisors is an integer number (308332710).

Almost surely, 211124053664 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 11124053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799970080).

11124053664 is an abundant number, since it is smaller than the sum of its proper divisors (18475886496).

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

11124053664 is a wasteful number, since it uses less digits than its factorization.

11124053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5494 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 11124053664 its reverse (46635042111), we get a palindrome (57759095775).

The spelling of 11124053664 in words is "eleven billion, one hundred twenty-four million, fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 163 274 326 411 489 548 652 822 978 1096 1304 1644 1956 2192 2608 3288 3912 4384 5189 5216 6576 7824 10378 13152 15567 15648 20756 22331 31134 41512 44662 62268 66993 83024 89324 124536 133986 166048 178648 249072 267972 357296 498144 535944 710893 714592 845807 1071888 1421786 1691614 2132679 2143776 2537421 2843572 3383228 4265358 5074842 5687144 6766456 8530716 10149684 11374288 13532912 17061432 20299368 22748576 27065824 34122864 40598736 68245728 81197472 115875559 231751118 347626677 463502236 695253354 927004472 1390506708 1854008944 2781013416 3708017888 5562026832 11124053664