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12028927680 = 26355731141
BaseRepresentation
bin10110011001111101…
…01101111011000000
31011001022112211200000
423030332231323000
5144113401141210
65305341400000
7604042125000
oct131476557300
934038484600
1012028927680
11511301a450
1223b8569000
1311991526b3
148217cc000
154a6086ac0
hex2ccfadec0

12028927680 has 1344 divisors, whose sum is σ = 55917388800. Its totient is φ = 2438553600.

The previous prime is 12028927649. The next prime is 12028927681. The reversal of 12028927680 is 8672982021.

12028927680 is a `hidden beast` number, since 1 + 20 + 289 + 276 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×120289276802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12028927681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 293388460 + ... + 293388500.

It is an arithmetic number, because the mean of its divisors is an integer number (41605200).

Almost surely, 212028927680 is an apocalyptic number.

12028927680 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 12028927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27958694400).

12028927680 is an abundant number, since it is smaller than the sum of its proper divisors (43888461120).

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

12028927680 is an equidigital number, since it uses as much as digits as its factorization.

12028927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12028927680 in words is "twelve billion, twenty-eight million, nine hundred twenty-seven thousand, six hundred eighty".