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11035405104 = 2433743831741
BaseRepresentation
bin10100100011100001…
…01110101100110000
31001111002001122220120
422101300232230300
5140100030430404
65023011010240
7540316252503
oct122160565460
931432048816
1011035405104
114753220209
12217b899980
13106b372909
1476988913a
15448c349d9
hex291c2eb30

11035405104 has 160 divisors (see below), whose sum is σ = 30337891584. Its totient is φ = 3451714560.

The previous prime is 11035405093. The next prime is 11035405127. The reversal of 11035405104 is 40150453011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6337674 + ... + 6339414.

Almost surely, 211035405104 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 11035405104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168945792).

11035405104 is an abundant number, since it is smaller than the sum of its proper divisors (19302486480).

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

11035405104 is a wasteful number, since it uses less digits than its factorization.

11035405104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11035405104 its reverse (40150453011), we get a palindrome (51185858115).

The spelling of 11035405104 in words is "eleven billion, thirty-five million, four hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 83 86 111 129 148 166 172 222 249 258 296 332 344 444 498 516 592 664 688 888 996 1032 1328 1591 1741 1776 1992 2064 3071 3182 3482 3569 3984 4773 5223 6142 6364 6964 7138 9213 9546 10446 10707 12284 12728 13928 14276 18426 19092 20892 21414 24568 25456 27856 28552 36852 38184 41784 42828 49136 57104 64417 73704 74863 76368 83568 85656 128834 132053 144503 147408 149726 171312 193251 224589 257668 264106 289006 299452 386502 396159 433509 449178 515336 528212 578012 598904 773004 792318 867018 898356 1030672 1056424 1156024 1197808 1546008 1584636 1734036 1796712 2112848 2312048 2769931 3092016 3169272 3468072 3593424 5346611 5539862 6213629 6338544 6936144 8309793 10693222 11079724 12427258 16039833 16619586 18640887 21386444 22159448 24854516 32079666 33239172 37281774 42772888 44318896 49709032 64159332 66478344 74563548 85545776 99418064 128318664 132956688 149127096 229904273 256637328 298254192 459808546 689712819 919617092 1379425638 1839234184 2758851276 3678468368 5517702552 11035405104