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11029104416 = 2511171843099
BaseRepresentation
bin10100100010110001…
…01100011100100000
31001110122012112222202
422101120230130200
5140041422320131
65022223552332
7540211561241
oct122130543440
931418175882
1011029104416
11474a707430
12217975b6a8
131069c77ab5
14768ac8cc8
154483dcbcb
hex29162c720

11029104416 has 48 divisors (see below), whose sum is σ = 25080904800. Its totient is φ = 4718330880.

The previous prime is 11029104409. The next prime is 11029104419. The reversal of 11029104416 is 61440192011.

It is a super-2 number, since 2×110291044162 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11029104419) by changing a digit.

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, 915566 + ... + 927533.

It is an arithmetic number, because the mean of its divisors is an integer number (522518850).

Almost surely, 211029104416 is an apocalyptic number.

11029104416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11029104416 is an abundant number, since it is smaller than the sum of its proper divisors (14051800384).

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

11029104416 is a wasteful number, since it uses less digits than its factorization.

11029104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843137 (or 1843129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 11029104416 its reverse (61440192011), we get a palindrome (72469296427).

The spelling of 11029104416 in words is "eleven billion, twenty-nine million, one hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 1843099 3686198 7372396 14744792 20274089 29489584 31332683 40548178 58979168 62665366 81096356 125330732 162192712 250661464 324385424 344659513 501322928 648770848 689319026 1002645856 1378638052 2757276104 5514552208 11029104416