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11034472512 = 263761134593
BaseRepresentation
bin10100100011011010…
…01011000001000000
31001111000022021122010
422101231023001000
5140044311110022
65022535012520
7540305316540
oct122155130100
931430267563
1011034472512
114752743578
12217b50a140
13106b10729b
147696c5320
15448aed50c
hex291b4b040

11034472512 has 112 divisors (see below), whose sum is σ = 33913380992. Its totient is φ = 3100999680.

The previous prime is 11034472469. The next prime is 11034472529. The reversal of 11034472512 is 21527443011.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 11034472512.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14688 + ... + 149280.

Almost surely, 211034472512 is an apocalyptic number.

11034472512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11034472512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16956690496).

11034472512 is an abundant number, since it is smaller than the sum of its proper divisors (22878908480).

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

11034472512 is a wasteful number, since it uses less digits than its factorization.

11034472512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134676 (or 134666 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 11034472512 in words is "eleven billion, thirty-four million, four hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6832 10248 11712 13664 20496 27328 40992 81984 134593 269186 403779 538372 807558 942151 1076744 1615116 1884302 2153488 2826453 3230232 3768604 4306976 5652906 6460464 7537208 8210173 8613952 11305812 12920928 15074416 16420346 22611624 24630519 25841856 30148832 32840692 45223248 49261038 57471211 60297664 65681384 90446496 98522076 114942422 131362768 172413633 180892992 197044152 229884844 262725536 344827266 394088304 459769688 525451072 689654532 788176608 919539376 1379309064 1576353216 1839078752 2758618128 3678157504 5517236256 11034472512