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11148990975 = 3252167296713
BaseRepresentation
bin10100110001000100…
…00001100111111111
31001202222210102102200
422120202001213333
5140313120202400
65042145322543
7543165600603
oct123042014777
931688712380
1011148990975
114801350a31
1221b1936453
131088a621a5
1477a9b5503
15453bbeb00
hex2988819ff

11148990975 has 36 divisors (see below), whose sum is σ = 20088724656. Its totient is φ = 5910503040.

The previous prime is 11148990961. The next prime is 11148991031. The reversal of 11148990975 is 57909984111.

11148990975 is a `hidden beast` number, since 1 + 1 + 1 + 489 + 90 + 9 + 75 = 666.

11148990975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11148990975 - 24 = 11148990959 is a prime.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 110782 + ... + 185931.

Almost surely, 211148990975 is an apocalyptic number.

11148990975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11148990975 is a deficient number, since it is larger than the sum of its proper divisors (8939733681).

11148990975 is a wasteful number, since it uses less digits than its factorization.

11148990975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296896 (or 296888 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 11148990975 in words is "eleven billion, one hundred forty-eight million, nine hundred ninety thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 15 25 45 75 167 225 501 835 1503 2505 4175 7515 12525 37575 296713 890139 1483565 2670417 4450695 7417825 13352085 22253475 49551071 66760425 148653213 247755355 445959639 743266065 1238776775 2229798195 3716330325 11148990975