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28149336000 = 263353194
BaseRepresentation
bin11010001101110101…
…001100011111000000
32200122202221102122000
4122031311030133000
5430122212223000
620533121544000
72014365256662
oct321565143700
980582842560
1028149336000
1110a35625855
1255571a5000
132867b46646
141510744532
15aeb414000
hex68dd4c7c0

28149336000 has 560 divisors, whose sum is σ = 109014341280. Its totient is φ = 7111411200.

The previous prime is 28149335993. The next prime is 28149336029. The reversal of 28149336000 is 63394182.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28149336000 is a `hidden beast` number, since 2 + 8 + 1 + 49 + 3 + 3 + 600 + 0 = 666.

It is a super-3 number, since 3×281493360003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 28149336000 = 3803 + 30403 = 17103 + 28503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1481543991 + ... + 1481544009.

Almost surely, 228149336000 is an apocalyptic number.

28149336000 is a gapful number since it is divisible by the number (20) 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 28149336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54507170640).

28149336000 is an abundant number, since it is smaller than the sum of its proper divisors (80865005280).

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

28149336000 is an frugal number, since it uses more digits than its factorization.

28149336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 28149336000 in words is "twenty-eight billion, one hundred forty-nine million, three hundred thirty-six thousand".