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11009169216 = 263315434129
BaseRepresentation
bin10100100000011001…
…01001011101000000
31001102020200202001000
422100030221131000
5140021321403331
65020232412000
7536550252153
oct122014513500
931366622030
1011009169216
11473a430861
122172b47000
131065ab8016
147661b9c9a
154467a10e6
hex290329740

11009169216 has 112 divisors (see below), whose sum is σ = 32393737600. Its totient is φ = 3666456576.

The previous prime is 11009169211. The next prime is 11009169271. The reversal of 11009169216 is 61296190011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009169211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2664240 + ... + 2668368.

It is an arithmetic number, because the mean of its divisors is an integer number (289229800).

Almost surely, 211009169216 is an apocalyptic number.

11009169216 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 11009169216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196868800).

11009169216 is an abundant number, since it is smaller than the sum of its proper divisors (21384568384).

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

11009169216 is a wasteful number, since it uses less digits than its factorization.

11009169216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 11009169216 in words is "eleven billion, nine million, one hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1543 1728 3086 4129 4629 6172 8258 9258 12344 12387 13887 16516 18516 24688 24774 27774 33032 37032 37161 41661 49376 49548 55548 66064 74064 74322 83322 98752 99096 111096 111483 132128 148128 148644 166644 198192 222192 222966 264256 296256 297288 333288 396384 444384 445932 594576 666576 792768 888768 891864 1189152 1333152 1783728 2378304 2666304 3567456 6371047 7134912 12742094 19113141 25484188 38226282 50968376 57339423 76452564 101936752 114678846 152905128 172018269 203873504 229357692 305810256 344036538 407747008 458715384 611620512 688073076 917430768 1223241024 1376146152 1834861536 2752292304 3669723072 5504584608 11009169216