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387228160512 = 29328921032
BaseRepresentation
bin1011010001010001001…
…10001101001000000000
31101000111121002200220200
411220220212031020000
522321020402114022
6453520135205200
736655606025244
oct5505046151000
91330447080820
10387228160512
1113a24a224356
1263069b16800
132a69160357b
1414a55c6a424
15a115514bac
hex5a2898d200

387228160512 has 270 divisors, whose sum is σ = 1141344690057. Its totient is φ = 126386675712.

The previous prime is 387228160511. The next prime is 387228160531. The reversal of 387228160512 is 215061822783.

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.

387228160512 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 28 + 1 + 605 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 346139248896 + 41088911616 = 588336^2 + 202704^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=440016.

It is a super-2 number, since 2×3872281605122 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (387228160511) 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 26 ways as a sum of consecutive naturals, for example, 3759496653 + ... + 3759496755.

Almost surely, 2387228160512 is an apocalyptic number.

387228160512 is a gapful number since it is divisible by the number (32) 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 387228160512

387228160512 is an abundant number, since it is smaller than the sum of its proper divisors (754116529545).

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

387228160512 is an frugal number, since it uses more digits than its factorization.

387228160512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 387228160512 in words is "three hundred eighty-seven billion, two hundred twenty-eight million, one hundred sixty thousand, five hundred twelve".