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11105095927156 = 2271131247798271
BaseRepresentation
bin1010000110011001101101…
…0011000100010101110100
31110022122012020011221102221
42201212123103010111310
52423421214024132111
635341335522012124
72224213425626320
oct241463323042564
943278166157387
1011105095927156
1135a1710161560
1212b42aa1a7044
1362728a90b0ba
142a56bd308980
15143d07e98371
hexa199b4c4574

11105095927156 has 144 divisors (see below), whose sum is σ = 25568818200576. Its totient is φ = 4097998872000.

The previous prime is 11105095927127. The next prime is 11105095927229. The reversal of 11105095927156 is 65172959050111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13512301 + ... + 14310571.

It is an arithmetic number, because the mean of its divisors is an integer number (177561237504).

Almost surely, 211105095927156 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 11105095927156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12784409100288).

11105095927156 is an abundant number, since it is smaller than the sum of its proper divisors (14463722273420).

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

11105095927156 is a wasteful number, since it uses less digits than its factorization.

11105095927156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798402 (or 798369 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 52.

The spelling of 11105095927156 in words is "eleven trillion, one hundred five billion, ninety-five million, nine hundred twenty-seven thousand, one hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 31 44 47 62 77 94 124 154 188 217 308 329 341 434 517 658 682 868 961 1034 1316 1364 1457 1922 2068 2387 2914 3619 3844 4774 5828 6727 7238 9548 10199 10571 13454 14476 16027 20398 21142 26908 32054 40796 42284 45167 64108 73997 90334 112189 147994 180668 224378 295988 316169 448756 496837 632338 798271 993674 1264676 1596542 1987348 3193084 3477859 5587897 6955718 8780981 11175794 13911436 17561962 22351588 24746401 35123924 37518737 49492802 61466867 75037474 98985604 122933734 150074948 173224807 245867468 262631159 272210411 346449614 412706107 525262318 544420822 692899228 767138431 825412214 1050524636 1088841644 1163080847 1534276862 1650824428 1905472877 2326161694 2888942749 3068553724 3810945754 4652323388 5369969017 5777885498 7621891508 8141565929 8438522741 10739938034 11555770996 12793889317 16283131858 16877045482 21479876068 25587778634 32566263716 33754090964 36055506257 51175557268 59069659187 72111012514 89557225219 118139318374 144222025028 179114450438 236278636748 252388543799 358228900876 396610568827 504777087598 793221137654 1009554175196 1586442275308 2776273981789 5552547963578 11105095927156