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11039440896 = 21532114183
BaseRepresentation
bin10100100100000000…
…01000000000000000
31001111100122200222100
422102000020000000
5140102044102041
65023233310400
7540365461611
oct122200100000
931440580870
1011039440896
114755527380
122181105400
13106c156863
1476a219c08
154492806b6
hex292008000

11039440896 has 384 divisors, whose sum is σ = 36068366880. Its totient is φ = 3224371200.

The previous prime is 11039440889. The next prime is 11039440897. The reversal of 11039440896 is 69804493011.

11039440896 is a `hidden beast` number, since 110 + 3 + 9 + 440 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (11039440897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133005271 + ... + 133005353.

Almost surely, 211039440896 is an apocalyptic number.

11039440896 is a gapful number since it is divisible by the number (16) 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 11039440896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034183440).

11039440896 is an abundant number, since it is smaller than the sum of its proper divisors (25028925984).

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

11039440896 is an equidigital number, since it uses as much as digits as its factorization.

11039440896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 11039440896 in words is "eleven billion, thirty-nine million, four hundred forty thousand, eight hundred ninety-six".