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11090213568 = 26327171371181
BaseRepresentation
bin10100101010000011…
…10011101011000000
31001121220012012222200
422111001303223000
5140203043313233
65032245433200
7541553155110
oct122501635300
931556165880
1011090213568
114781155665
12219610b800
131079822865
14772c75040
1544d95e313
hex295073ac0

11090213568 has 336 divisors, whose sum is σ = 38779850304. Its totient is φ = 2957967360.

The previous prime is 11090213567. The next prime is 11090213597. The reversal of 11090213568 is 86531209011.

11090213568 is a `hidden beast` number, since 1 + 1 + 0 + 90 + 2 + 1 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11090213567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9389938 + ... + 9391118.

Almost surely, 211090213568 is an apocalyptic number.

11090213568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11090213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19389925152).

11090213568 is an abundant number, since it is smaller than the sum of its proper divisors (27689636736).

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

11090213568 is a wasteful number, since it uses less digits than its factorization.

11090213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11090213568 in words is "eleven billion, ninety million, two hundred thirteen thousand, five hundred sixty-eight".