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11088020160 = 2632571732353
BaseRepresentation
bin10100101001110010…
…11100001011000000
31001121202001210012100
422110321130023000
5140202013121120
65032130430400
7541525421250
oct122471341300
931552053170
1011088020160
11477a997728
122195432400
131079235399
14772863960
1544d679490
hex294e5c2c0

11088020160 has 336 divisors, whose sum is σ = 46151816256. Its totient is φ = 2385248256.

The previous prime is 11088020101. The next prime is 11088020161. The reversal of 11088020160 is 6102088011.

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

It is not an unprimeable number, because it can be changed into a prime (11088020161) 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, 326544 + ... + 358896.

It is an arithmetic number, because the mean of its divisors is an integer number (137356596).

Almost surely, 211088020160 is an apocalyptic number.

11088020160 is a gapful number since it is divisible by the number (10) 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 11088020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23075908128).

11088020160 is an abundant number, since it is smaller than the sum of its proper divisors (35063796096).

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

11088020160 is a wasteful number, since it uses less digits than its factorization.

11088020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32400 (or 32387 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11088020160 in words is "eleven billion, eighty-eight million, twenty thousand, one hundred sixty".