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11036941920 = 25325192317539
BaseRepresentation
bin10100100011101101…
…00101111001100000
31001111011221202000200
422101312211321200
5140100424120140
65023103545200
7540335313144
oct122166457140
931434852020
1011036941920
11475407a904
1221802bb200
13106b790284
14769b69224
15448e3a030
hex291da5e60

11036941920 has 288 divisors, whose sum is σ = 41371948800. Its totient is φ = 2666898432.

The previous prime is 11036941913. The next prime is 11036941921. The reversal of 11036941920 is 2914963011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×110369419203 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11036941921) 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, 620511 + ... + 638049.

It is an arithmetic number, because the mean of its divisors is an integer number (143652600).

Almost surely, 211036941920 is an apocalyptic number.

11036941920 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 11036941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20685974400).

11036941920 is an abundant number, since it is smaller than the sum of its proper divisors (30335006880).

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

11036941920 is a wasteful number, since it uses less digits than its factorization.

11036941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17602 (or 17591 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 11036941920 in words is "eleven billion, thirty-six million, nine hundred forty-one thousand, nine hundred twenty".