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11014183936 = 21072317397
BaseRepresentation
bin10100100000111111…
…10001110000000000
31001102121010111221101
422100133301300000
5140024112341221
65020532104144
7536641006300
oct122037616000
931377114841
1011014183936
114742246458
122174765054
131066b52702
14766b23600
15446e41d91
hex2907f1c00

11014183936 has 264 divisors, whose sum is σ = 27076995456. Its totient is φ = 4459069440.

The previous prime is 11014183927. The next prime is 11014183937. The reversal of 11014183936 is 63938141011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11014183895 and 11014183904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11014183937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113548240 + ... + 113548336.

Almost surely, 211014183936 is an apocalyptic number.

11014183936 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 11014183936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13538497728).

11014183936 is an abundant number, since it is smaller than the sum of its proper divisors (16062811520).

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

11014183936 is an equidigital number, since it uses as much as digits as its factorization.

11014183936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 11014183936 in words is "eleven billion, fourteen million, one hundred eighty-three thousand, nine hundred thirty-six".