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11051567072 = 257132443659
BaseRepresentation
bin10100100101011100…
…11000011111100000
31001112012110202221222
422102232120133200
5140113200121242
65024345234212
7540603525110
oct122256303740
931465422858
1011051567072
114761359a07
122185192968
131071811100
1476ba95040
1544a3785d2
hex292b987e0

11051567072 has 144 divisors (see below), whose sum is σ = 27027665280. Its totient is φ = 4355559936.

The previous prime is 11051567063. The next prime is 11051567083. The reversal of 11051567072 is 27076515011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16769879 + ... + 16770537.

It is an arithmetic number, because the mean of its divisors is an integer number (187692120).

Almost surely, 211051567072 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 11051567072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13513832640).

11051567072 is an abundant number, since it is smaller than the sum of its proper divisors (15976098208).

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

11051567072 is a wasteful number, since it uses less digits than its factorization.

11051567072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 35.

The spelling of 11051567072 in words is "eleven billion, fifty-one million, five hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 443 659 676 728 886 1183 1318 1352 1456 1772 2366 2636 2704 2912 3101 3544 4613 4732 5272 5408 5759 6202 7088 8567 9226 9464 10544 11518 12404 14176 17134 18452 18928 21088 23036 24808 34268 36904 37856 40313 46072 49616 59969 68536 73808 74867 80626 92144 99232 111371 119938 137072 147616 149734 161252 184288 222742 239876 274144 291937 299468 322504 445484 479752 524069 583874 598936 645008 779597 890968 959504 1048138 1167748 1197872 1290016 1559194 1781936 1919008 2043559 2096276 2335496 2395744 3118388 3563872 3795181 4087118 4192552 4670992 6236776 7590362 8174236 8385104 9341984 12473552 15180724 16348472 16770208 24947104 26566267 30361448 32696944 49337353 53132534 60722896 65393888 98674706 106265068 121445792 197349412 212530136 345361471 394698824 425060272 690722942 789397648 850120544 1381445884 1578795296 2762891768 5525783536 11051567072