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11226796560 = 243357742513
BaseRepresentation
bin10100111010010101…
…10101001000010000
31001222102012100122000
422131022311020100
5140443024442220
65054005114000
7545132124210
oct123512651020
931872170560
1011226796560
114841263471
1222139b8900
13109bc047b5
1478706a240
1545a93d390
hex29d2b5210

11226796560 has 160 divisors (see below), whose sum is σ = 44194433280. Its totient is φ = 2566121472.

The previous prime is 11226796541. The next prime is 11226796601. The reversal of 11226796560 is 6569762211.

11226796560 is a `hidden beast` number, since 1 + 1 + 22 + 67 + 9 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 356137 + ... + 386376.

It is an arithmetic number, because the mean of its divisors is an integer number (276215208).

Almost surely, 211226796560 is an apocalyptic number.

11226796560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11226796560 is an abundant number, since it is smaller than the sum of its proper divisors (32967636720).

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

11226796560 is a wasteful number, since it uses less digits than its factorization.

11226796560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742542 (or 742530 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 11226796560 in words is "eleven billion, two hundred twenty-six million, seven hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 742513 1485026 2227539 2970052 3712565 4455078 5197591 5940104 6682617 7425130 8910156 10395182 11137695 11880208 13365234 14850260 15592773 17820312 20047851 20790364 22275390 25987955 26730468 29700520 31185546 33413085 35640624 40095702 41580728 44550780 46778319 51975910 53460936 59401040 62371092 66826170 77963865 80191404 83161456 89101560 93556638 100239255 103951820 106921872 124742184 133652340 140334957 155927730 160382808 178203120 187113276 200478510 207903640 233891595 249484368 267304680 280669914 311855460 320765616 374226552 400957020 415807280 467783190 534609360 561339828 623710920 701674785 748453104 801914040 935566380 1122679656 1247421840 1403349570 1603828080 1871132760 2245359312 2806699140 3742265520 5613398280 11226796560