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11010104064 = 28333834159
BaseRepresentation
bin10100100000100000…
…01101101100000000
31001102022110020102000
422100100031230000
5140022041312224
65020304424000
7536561224521
oct122020155400
931368406360
1011010104064
11473aa0a163
122173318000
13106605469b
14766380848
154468d80c9
hex29040db00

11010104064 has 144 divisors (see below), whose sum is σ = 32651673600. Its totient is φ = 3659572224.

The previous prime is 11010103999. The next prime is 11010104093. The reversal of 11010104064 is 46040101011.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2645217 + ... + 2649375.

Almost surely, 211010104064 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 11010104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325836800).

11010104064 is an abundant number, since it is smaller than the sum of its proper divisors (21641569536).

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

11010104064 is an equidigital number, since it uses as much as digits as its factorization.

11010104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11010104064 its reverse (46040101011), we get a palindrome (57050205075).

The spelling of 11010104064 in words is "eleven billion, ten million, one hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 383 384 432 576 766 768 864 1149 1152 1532 1728 2298 2304 3064 3447 3456 4159 4596 6128 6894 6912 8318 9192 10341 12256 12477 13788 16636 18384 20682 24512 24954 27576 33272 36768 37431 41364 49024 49908 55152 66544 73536 74862 82728 98048 99816 110304 112293 133088 147072 149724 165456 199632 220608 224586 266176 294144 299448 330912 399264 441216 449172 532352 598896 661824 798528 882432 898344 1064704 1197792 1323648 1592897 1597056 1796688 2395584 2647296 3185794 3194112 3593376 4778691 4791168 6371588 7186752 9557382 9582336 12743176 14336073 14373504 19114764 25486352 28672146 28747008 38229528 43008219 50972704 57344292 76459056 86016438 101945408 114688584 152918112 172032876 203890816 229377168 305836224 344065752 407781632 458754336 611672448 688131504 917508672 1223344896 1376263008 1835017344 2752526016 3670034688 5505052032 11010104064