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11209462976 = 264112733637
BaseRepresentation
bin10100111000010001…
…01101010011000000
31001221012120201102102
422130020231103000
5140424110303401
65052145405532
7544531602035
oct123410552300
931835521372
1011209462976
1148324a4498
12220a0398a8
131098445c3a
14784a3738c
1545916756b
hex29c22d4c0

11209462976 has 56 divisors (see below), whose sum is σ = 22966411776. Its totient is φ = 5424814080.

The previous prime is 11209462969. The next prime is 11209462997. The reversal of 11209462976 is 67926490211.

It is a self number, because there is not a number n which added to its sum of digits gives 11209462976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316430 + ... + 350066.

It is an arithmetic number, because the mean of its divisors is an integer number (410114496).

Almost surely, 211209462976 is an apocalyptic number.

11209462976 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 11209462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11483205888).

11209462976 is an abundant number, since it is smaller than the sum of its proper divisors (11756948800).

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

11209462976 is a wasteful number, since it uses less digits than its factorization.

11209462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33817 (or 33807 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 47.

The spelling of 11209462976 in words is "eleven billion, two hundred nine million, four hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 41 64 82 127 164 254 328 508 656 1016 1312 2032 2624 4064 5207 8128 10414 20828 33637 41656 67274 83312 134548 166624 269096 333248 538192 1076384 1379117 2152768 2758234 4271899 5516468 8543798 11032936 17087596 22065872 34175192 44131744 68350384 88263488 136700768 175147859 273401536 350295718 700591436 1401182872 2802365744 5604731488 11209462976