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11010834432 = 2183213359
BaseRepresentation
bin10100100000100110…
…00000000000000000
31001102100211100021200
422100103000000000
5140022233200212
65020332221200
7536600356053
oct122023000000
931370740250
1011010834432
114740368974
12217360a800
13106624bc60
147664d0a9a
154469ce6dc
hex2904c0000

11010834432 has 228 divisors, whose sum is σ = 34351284240. Its totient is φ = 3378511872.

The previous prime is 11010834409. The next prime is 11010834437. The reversal of 11010834432 is 23443801011.

11010834432 is a `hidden beast` number, since 110 + 108 + 3 + 443 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11010834396 and 11010834405.

It is not an unprimeable number, because it can be changed into a prime (11010834437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30670669 + ... + 30671027.

Almost surely, 211010834432 is an apocalyptic number.

11010834432 is a gapful number since it is divisible by the number (12) 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 11010834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175642120).

11010834432 is an abundant number, since it is smaller than the sum of its proper divisors (23340449808).

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

11010834432 is an frugal number, since it uses more digits than its factorization.

11010834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11010834432 in words is "eleven billion, ten million, eight hundred thirty-four thousand, four hundred thirty-two".