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11194833408 = 29311798387
BaseRepresentation
bin10100110110100001…
…11001101000000000
31001220012001110102120
422123100321220000
5140411334132113
65050504044240
7544263341163
oct123320715000
931805043376
1011194833408
114825212040
122205163680
1310953c30a5
14782b09ada
15457c27a23
hex29b439a00

11194833408 has 160 divisors (see below), whose sum is σ = 32950748160. Its totient is φ = 3349032960.

The previous prime is 11194833371. The next prime is 11194833437. The reversal of 11194833408 is 80433849111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11194833408.

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 15 ways as a sum of consecutive naturals, for example, 1330591 + ... + 1338977.

It is an arithmetic number, because the mean of its divisors is an integer number (205942176).

Almost surely, 211194833408 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 11194833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475374080).

11194833408 is an abundant number, since it is smaller than the sum of its proper divisors (21755914752).

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

11194833408 is an equidigital number, since it uses as much as digits as its factorization.

11194833408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8498 (or 8482 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 11194833408 in words is "eleven billion, one hundred ninety-four million, eight hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 128 132 158 176 192 237 256 264 316 352 384 474 512 528 632 704 768 869 948 1056 1264 1408 1536 1738 1896 2112 2528 2607 2816 3476 3792 4224 5056 5214 5632 6952 7584 8387 8448 10112 10428 13904 15168 16774 16896 20224 20856 25161 27808 30336 33548 40448 41712 50322 55616 60672 67096 83424 92257 100644 111232 121344 134192 166848 184514 201288 222464 268384 276771 333696 369028 402576 444928 536768 553542 662573 667392 738056 805152 1073536 1107084 1325146 1334784 1476112 1610304 1987719 2147072 2214168 2650292 2952224 3220608 3975438 4294144 4428336 5300584 5904448 6441216 7288303 7950876 8856672 10601168 11808896 12882432 14576606 15901752 17713344 21202336 21864909 23617792 29153212 31803504 35426688 42404672 43729818 47235584 58306424 63607008 70853376 84809344 87459636 116612848 127214016 141706752 169618688 174919272 233225696 254428032 339237376 349838544 466451392 508856064 699677088 932902784 1017712128 1399354176 1865805568 2798708352 3731611136 5597416704 11194833408