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11006001056 = 25379295609
BaseRepresentation
bin10100100000000001…
…00011111110100000
31001102000201210010202
422100000203332200
5140020014013211
65020040444332
7536511315431
oct122000437640
931360653122
1011006001056
114738667546
122171a796a8
131065248c7b
147659d3488
1544637753b
hex290023fa0

11006001056 has 24 divisors (see below), whose sum is σ = 22253690340. Its totient is φ = 5354270208.

The previous prime is 11006001043. The next prime is 11006001089. The reversal of 11006001056 is 65010060011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9047053456 + 1958947600 = 95116^2 + 44260^2 .

It is a super-2 number, since 2×110060010562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4646621 + ... + 4648988.

Almost surely, 211006001056 is an apocalyptic number.

11006001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11006001056 is an abundant number, since it is smaller than the sum of its proper divisors (11247689284).

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

11006001056 is an equidigital number, since it uses as much as digits as its factorization.

11006001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9295656 (or 9295648 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 11006001056 its reverse (65010060011), we get a palindrome (76016061067).

The spelling of 11006001056 in words is "eleven billion, six million, one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 9295609 18591218 37182436 74364872 148729744 297459488 343937533 687875066 1375750132 2751500264 5503000528 11006001056