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11059497216 = 28335033181
BaseRepresentation
bin10100100110011001…
…01000100100000000
31001112202101200002000
422103030220210000
5140122212402331
65025231224000
7541031114055
oct122314504400
931482350060
1011059497216
114765885a49
122187978000
1310733597c1
1476cb5b02c
1544ade30e6
hex293328900

11059497216 has 144 divisors (see below), whose sum is σ = 32780200320. Its totient is φ = 3678013440.

The previous prime is 11059497199. The next prime is 11059497223. The reversal of 11059497216 is 61279495011.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3475146 + ... + 3478326.

It is an arithmetic number, because the mean of its divisors is an integer number (227640280).

Almost surely, 211059497216 is an apocalyptic number.

11059497216 is a gapful number since it is divisible by the number (16) 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 11059497216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16390100160).

11059497216 is an abundant number, since it is smaller than the sum of its proper divisors (21720703104).

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

11059497216 is an equidigital number, since it uses as much as digits as its factorization.

11059497216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 11059497216 in words is "eleven billion, fifty-nine million, four hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 503 576 768 864 1006 1152 1509 1728 2012 2304 3018 3181 3456 4024 4527 6036 6362 6912 8048 9054 9543 12072 12724 13581 16096 18108 19086 24144 25448 27162 28629 32192 36216 38172 48288 50896 54324 57258 64384 72432 76344 85887 96576 101792 108648 114516 128768 144864 152688 171774 193152 203584 217296 229032 289728 305376 343548 386304 407168 434592 458064 579456 610752 687096 814336 869184 916128 1158912 1221504 1374192 1600043 1738368 1832256 2443008 2748384 3200086 3476736 3664512 4800129 5496768 6400172 7329024 9600258 10993536 12800344 14400387 19200516 21987072 25600688 28800774 38401032 43201161 51201376 57601548 76802064 86402322 102402752 115203096 153604128 172804644 204805504 230406192 307208256 345609288 409611008 460812384 614416512 691218576 921624768 1228833024 1382437152 1843249536 2764874304 3686499072 5529748608 11059497216