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11011366704 = 2431321971443
BaseRepresentation
bin10100100000101010…
…00001111100110000
31001102101211101102110
422100111001330300
5140022402213304
65020351445320
7536605033632
oct122025017460
931371741373
1011011366704
1147406a1868
122173826840
1310663a7300
147665cca52
15446a87289
hex290541f30

11011366704 has 120 divisors (see below), whose sum is σ = 32424144960. Its totient is φ = 3209746176.

The previous prime is 11011366693. The next prime is 11011366747. The reversal of 11011366704 is 40766311011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118407 + ... + 189849.

It is an arithmetic number, because the mean of its divisors is an integer number (270201208).

Almost surely, 211011366704 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 11011366704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212072480).

11011366704 is an abundant number, since it is smaller than the sum of its proper divisors (21412778256).

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

11011366704 is a wasteful number, since it uses less digits than its factorization.

11011366704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71499 (or 71480 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

Adding to 11011366704 its reverse (40766311011), we get a palindrome (51777677715).

The spelling of 11011366704 in words is "eleven billion, eleven million, three hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 169 208 228 247 304 312 338 456 494 507 624 676 741 912 988 1014 1352 1482 1976 2028 2704 2964 3211 3952 4056 5928 6422 8112 9633 11856 12844 19266 25688 38532 51376 71443 77064 142886 154128 214329 285772 428658 571544 857316 928759 1143088 1357417 1714632 1857518 2714834 2786277 3429264 3715036 4072251 5429668 5572554 7430072 8144502 10859336 11145108 12073867 14860144 16289004 17646421 21718672 22290216 24147734 32578008 35292842 36221601 44580432 48295468 52939263 65156016 70585684 72443202 96590936 105878526 141171368 144886404 193181872 211757052 229403473 282342736 289772808 423514104 458806946 579545616 688210419 847028208 917613892 1376420838 1835227784 2752841676 3670455568 5505683352 11011366704