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11141626104 = 2332722106401
BaseRepresentation
bin10100110000001011…
…11011100011111000
31001202110221020201200
422120011323203320
5140304224013404
65041323414200
7543046154640
oct123005734370
931673836650
1011141626104
1147a8180664
1221ab384360
131087383b8b
14779a19520
15453217839
hex29817b8f8

11141626104 has 48 divisors (see below), whose sum is σ = 34485987120. Its totient is φ = 3183321600.

The previous prime is 11141626103. The next prime is 11141626117. The reversal of 11141626104 is 40162614111.

11141626104 is a `hidden beast` number, since 1 + 1 + 1 + 41 + 6 + 2 + 610 + 4 = 666.

11141626104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141626103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11052697 + ... + 11053704.

It is an arithmetic number, because the mean of its divisors is an integer number (718458065).

Almost surely, 211141626104 is an apocalyptic number.

11141626104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11141626104 is an abundant number, since it is smaller than the sum of its proper divisors (23344361016).

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

11141626104 is a wasteful number, since it uses less digits than its factorization.

11141626104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22106420 (or 22106413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11141626104 in words is "eleven billion, one hundred forty-one million, six hundred twenty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 22106401 44212802 66319203 88425604 132638406 154744807 176851208 198957609 265276812 309489614 397915218 464234421 530553624 618979228 795830436 928468842 1237958456 1392703263 1591660872 1856937684 2785406526 3713875368 5570813052 11141626104