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12049684416 = 263471130187
BaseRepresentation
bin10110011100011011…
…11001011111000000
31011002202121101120000
423032031321133000
5144134204400131
65311402320000
7604413425160
oct131615713700
934082541500
1012049684416
115123807280
1224034b9000
1311a053c3a3
148244725a0
154a7cd6ce6
hex2ce3797c0

12049684416 has 280 divisors, whose sum is σ = 44534303616. Its totient is φ = 3129684480.

The previous prime is 12049684391. The next prime is 12049684453. The reversal of 12049684416 is 61448694021.

It is a super-2 number, since 2×120496844162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384075 + ... + 414261.

Almost surely, 212049684416 is an apocalyptic number.

12049684416 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 12049684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22267151808).

12049684416 is an abundant number, since it is smaller than the sum of its proper divisors (32484619200).

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

12049684416 is a wasteful number, since it uses less digits than its factorization.

12049684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30229 (or 30210 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 12049684416 in words is "twelve billion, forty-nine million, six hundred eighty-four thousand, four hundred sixteen".