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11918057728 = 28711913433
BaseRepresentation
bin10110001100101111…
…10010000100000000
31010202120221001200111
423012113302010000
5143402010321403
65250341201104
7601224550663
oct130627620400
933676831614
1011918057728
115066484195
122387400194
13117c1a4385
14810bab6da
1549b48656d
hex2c65f2100

11918057728 has 72 divisors (see below), whose sum is σ = 24257995776. Its totient is φ = 5842636800.

The previous prime is 11918057717. The next prime is 11918057737. The reversal of 11918057728 is 82775081911.

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, 3469900 + ... + 3473332.

It is an arithmetic number, because the mean of its divisors is an integer number (336916608).

Almost surely, 211918057728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11918057728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128997888).

11918057728 is an abundant number, since it is smaller than the sum of its proper divisors (12339938048).

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

11918057728 is an equidigital number, since it uses as much as digits as its factorization.

11918057728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 49.

The spelling of 11918057728 in words is "eleven billion, nine hundred eighteen million, fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 71 128 142 191 256 284 382 568 764 1136 1528 2272 3056 3433 4544 6112 6866 9088 12224 13561 13732 18176 24448 27122 27464 48896 54244 54928 108488 109856 216976 219712 243743 433952 439424 487486 655703 867904 878848 974972 1311406 1735808 1949944 2622812 3471616 3899888 5245624 7799776 10491248 15599552 20982496 31199104 41964992 46554913 62398208 83929984 93109826 167859968 186219652 372439304 744878608 1489757216 2979514432 5959028864 11918057728