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11326130304 = 2732310112697
BaseRepresentation
bin10101000110001011…
…10000100010000000
31002020100010000220120
422203011300202000
5141143442132204
65111514140240
7550446343026
oct124305604200
932210100816
1011326130304
11489233a375
122241121680
1310b6673c68
14796326716
154645106d9
hex2a3170880

11326130304 has 128 divisors (see below), whose sum is σ = 31706398080. Its totient is φ = 3575193600.

The previous prime is 11326130279. The next prime is 11326130329. The reversal of 11326130304 is 40303162311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11326130279) and next prime (11326130329).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885684 + ... + 898380.

It is an arithmetic number, because the mean of its divisors is an integer number (247706235).

Almost surely, 211326130304 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 11326130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853199040).

11326130304 is an abundant number, since it is smaller than the sum of its proper divisors (20380267776).

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

11326130304 is a wasteful number, since it uses less digits than its factorization.

11326130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838 (or 12826 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11326130304 its reverse (40303162311), we get a palindrome (51629292615).

The spelling of 11326130304 in words is "eleven billion, three hundred twenty-six million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 101 128 138 184 192 202 276 303 368 384 404 552 606 736 808 1104 1212 1472 1616 2208 2323 2424 2944 3232 4416 4646 4848 6464 6969 8832 9292 9696 12697 12928 13938 18584 19392 25394 27876 37168 38091 38784 50788 55752 74336 76182 101576 111504 148672 152364 203152 223008 292031 297344 304728 406304 446016 584062 609456 812608 876093 892032 1168124 1218912 1282397 1625216 1752186 2336248 2437824 2564794 3504372 3847191 4672496 4875648 5129588 7008744 7694382 9344992 10259176 14017488 15388764 18689984 20518352 28034976 29495131 30777528 37379968 41036704 56069952 58990262 61555056 82073408 88485393 112139904 117980524 123110112 164146816 176970786 235961048 246220224 353941572 471922096 492440448 707883144 943844192 1415766288 1887688384 2831532576 3775376768 5663065152 11326130304